Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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independent practice classify the angles as acute, obtuse, right or str…
Straight ### Problem 17: Classify \( 18^\circ \) angle
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an individual head of a sprinkler system covers a circular area of gras…
\( 5890.5\ \text{ft}^2 \) (corresponding to the option "5890.5 ft²")
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name the figure below in two different ways. y u j symbol: and
$\overline{YJ}$ and $\overline{JY}$ (or "Segment YJ" and "Segment JY")
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area = ________________ find the area of a triangle using b = 14 meters…
The area of the triangle is \( 140 \) square meters.
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d. triangle diagram: base 16 km, height 9 km area = ______ find the are…
\( 72\space km^2 \) ### Part g:
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sss proof #1 given: ( overline{pq} cong overline{st} ), ( overline{qr} …
### SSS Proof #1 # Explanation: ## Step1: List Given Information - \( \overline{PQ} \cong \overline{ST} \) (Given) - \( \overline{QR} \cong \overline{TR} \) (Given) - \( R \) is t…
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point d is on line segment (overline{ce}). given (de = x + 2), (cd = 3x…
12
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find the probability that a randomly chosen point in each figure lies i…
\( 1-\frac{\pi}{4} \) (or approximately \( 0.215 \)) ### Part (b)
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solve for the value of e. 110° (9e+7)° answer attempt 1 out of 2 e = su…
\(7\)
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when in 1915 italy threw in her fate with that of the allies, how many …
Italy did not get the territory it deserved after World War I.
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10) determine if the following side lengths form a right triangle: 4, 4…
The side lengths 4, 4, 4 do not form a right triangle.
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when in 1915 italy threw in her fate with that of the allies, how many …
B. World War I
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find the distance between the two points rounding to the nearest tenth …
15
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the perimeter of a rectangle is 90 centimeters. the length is 27 centim…
18
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find the distance between the two points in simplest radical form. (9, …
\( 10 \)
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explore the relationship between the radius and area of a circle by fol…
The area of a circle $A$ is related to its radius $r$ by the formula $A = \pi r^{2}$, meaning the area is proportional to the square of the radius. When we rearrange the circle's …
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use the diagram below to answer the questions. which are shown on the d…
\(\overline{JK}\), \(\overrightarrow{KM}\), \(\overrightarrow{JK}\), \(\overrightarrow{PK}\), \(\angle LJK\)
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find the distance between the two points in simplest radical form. (9, …
# Explanation: ## Step1: Recall distance formula The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here…
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select the best description for the diagram. diagram: line ( overleftri…
# Brief Explanations: 1. Analyze the diagram: Line \( \overleftrightarrow{XY} \) (a straight line) intersects segment \( \overline{WV} \) at point \( Z \). Also, \( Z \) is the mi…
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aidan is participating in an 8-mile walk for his favorite charity. the …
To plot the points: - For the starting point \((3,1)\): Since the \(x\)-coordinate is \(3\) and the \(y\)-coordinate is \(1\), move 3 units to the right along the \(x\)-axis (from…
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8) determine if the following side lengths form a right triangle: 5, 6,…
The side lengths 5, 6, 10 do not form a right triangle because \(5^2 + 6^2 eq 10^2\) (25 + 36 = 61 ≠ 100), so the Pythagorean theorem is not satisfied.
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8) determine if the following side lengths form a right triangle: 5, 6,…
No, the side lengths 5, 6, 10 do not form a right triangle.
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∠1 is a complement of ∠4, and ( mangle 1 = 33^circ ). find ( mangle 4 )…
\(57\)
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select the definition, property, or postulate that is represented by th…
C. Segment Addition Postulate
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∠3 is a supplement of ∠2, and ( mangle 2 = 147^circ ). find ( mangle 3 …
\(33\)
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4. diagram with 33°, (7x + 5)°, lines a, b converse: ______ 6. diagram …
\(x = 4\) ### Problem 6
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select the definition, property, or postulate that is represented by th…
C. angle bisector
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2) determine if the following side lengths form a right triangle: 5, 12…
The side lengths 5, 12, 13 form a right triangle because \(5^2 + 12^2 = 13^2\) (25 + 144 = 169), satisfying the Pythagorean theorem.
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cool down: two more triangles for each triangle, identify a base and a …
- Area of Triangle A: \( 9 \) square inches - Area of Triangle B: \( 12 \) square centimeters
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25-question multiple choice test refer back to the text! \the arrival\ …
B) A flicker in the sky ### Question 2
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if it is given that \\(\\overline{pw}\\) and \\(\\overline{qw}\\) are c…
Put double tick marks on each segment.
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3. a b 96° (6x - 30)° 6x-30=96 converse: ____ 5. (8x - 17)° (5x + 19)° …
\(x = 21\) ### Problem 5
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6) paul props a ladder against a wall which measures 10 feet. how high …
The ladder will reach approximately $5\sqrt{3}$ feet (or about 8.66 feet) up the wall.
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proving lines are parallel with algebra directions: find x so that ( a …
\( x = 16 \), Converse: Alternate Interior Angles Converse
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is each number prime or composite? prime composite 5 ○ ○ 9 ○ ○ 57 ○ ○
For 5: Prime (circle the Prime option for 5) For 9: Composite (circle the Composite option for 9) For 57: Composite (circle the Composite option for 57)
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∠1 is a supplement of ∠2 , and ( mangle 2 = 27^circ ) . find ( mangle 1…
\(153\)
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use the diagram to the right for questions 5-8: 5. how many planes appe…
\( x = 3 \) ### Question 10: If \( \angle LVN=6x - 5 \), \( \angle LMN=x + 7 \), and \( \angle WN=3x + 20 \) (Wait, maybe a typo, maybe \( \angle MNN \)? No, likely \( \angle MNV=…
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lesson 5 practice problems 1. select all segments that could represent …
A. e, B. f, E. j, F. k
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find the area of a triangle with a base of 4 cm and a height of 5 cm. 1…
10 cm (Note: The unit in the options is inconsistent with the area unit, but the numerical value from the area calculation of the triangle is 10, so the answer is the option with …
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question 9 of 10 what is the volume of the sphere below? a. 81π units³ …
C. \( 36\pi \) units\(^3\) (Note: The formula for the volume of a sphere is \( V = \frac{4}{3}\pi r^3 \). For \( r = 3 \), \( V = \frac{4}{3}\pi(3)^3 = \frac{4}{3}\pi(27) = 36\pi …
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what does the slope of a line represent? a. the point where the line cr…
d. The rate of change between the dependent and independent variables
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what is it called when an adult tries to purchase alcohol for a minor? …
Second - party sale (the option with the double - circle selection in the image)
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what does it mean if the slope of a line is zero? a. the line is at a 4…
b. The line is horizontal
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a 20-foot-long footbridge has two diagonal supports that meet in the ce…
\(23.7\)
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find the location of b, the midpoint of (overline{ac}). location of b :
1
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1 (\frac{1}{5}) = (\frac{\text{yellow rectangle}}{\text{yellow rectangl…
\(1\frac{1}{5}=\frac{6}{5}\), \(6\frac{1}{7}=\frac{43}{7}\)
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cscθ = \\frac{1}{\\sinθ} = \\underline{\\quad\\quad} \\\\ secθ = \\frac…
\(\csc\theta=\frac{1}{\sin\theta}=\boldsymbol{\frac{\text{Hypotenuse}}{\text{Opposite}}}\) (or \(\frac{r}{y}\)) \(\sec\theta=\frac{1}{\cos\theta}=\boldsymbol{\frac{\text{Hypotenus…
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which best explains the mesopotamian practice of placing ziggurats at t…
C. Leaders valued religion and wanted a prominent place to pay tribute to local gods
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what are the exact values of a and b? diagram: right triangle ( abc ) w…
The exact values are \(a=\frac{7}{2}\) and \(b = \frac{7\sqrt{3}}{2}\) (corresponding to the option with \(a=\frac{7}{2},b=\frac{7\sqrt{3}}{2}\))
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upon arriving at the scene of a death believed to be a drug overdose, i…
c. The evidence is not consistent with the daughter’s testimony, which could mean the crime is staged.
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the movement of the progress bar may be uneven because questions can be…
\( P = 72 \) feet, \( A = 300 \) square feet
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find the distance between j and k, 10.2, 9, 7.7, 8.2
B. 9
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find the length of the side wv. options: 2.83 units, √2 units, 2.38 uni…
2.83 units
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the ... axis is vertical in the coordinate plane. options: y, x, z, non…
A. \( y \)
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what is the distance between the two points? 6.5 6.7 16 6.5
6.5
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look at the following shapes. classify the shapes. group do all of the …
For Rhombuses: yes For Squares: no
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to ensure right angles at the corners of a collection site, use the pyt…
c. 15 meters
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what is the ordered pair for point a? (0,2) (2,0) (-2,0) (0,-2)
B. (2, 0) (assuming the purple option is labeled as B, if we follow the order of the options: yellow (0,2), purple (2,0), orange (- 2,0), cyan (0,-2))
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angle g is a circumscribed angle of circle e. major arc fd measures 280…
To find the measure of angle \( GFD \), we first note that the measure of a circumscribed angle (angle \( G \)) related to a circle can be found using the difference of the major …
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18. if ( ef = (3x - 2) ) and ( gh = (x + 6) ), and ( ef cong gh ), find…
c) 4 ### Question 19
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major arc jl measures 300° which describes triangle jlm? right obtuse s…
equilateral
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how can we classify the following shape? shape with all sides labeled 6…
A. Quadrilateral, C. Rhombus, D. Square (assuming the angles are right angles, as a square is a special case of a rhombus and rectangle with all sides equal and angles 90°; if ang…
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how can we classify the following shape? image of a quadrilateral with …
A. Quadrilateral, C. Rhombus
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1 week streak level 4 0 /4 skills a 600 square units b 300 square units…
For \( c \): 5 units For \( h \): 155 units
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complete the two-column proof using the selections given. write the let…
1. B 2. D 3. E 4. (already matched with substitution, but as per the table, the statement is \(5x = 3x+4\) with reason 4) 5. F 6. C (For the two - column proof, filling the letter…
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2-2 lesson quiz proving lines parallel 1. select all the true statement…
### Item 1 To determine the true statements, we analyze each option using angle - parallel line theorems (corresponding angles, alternate interior angles, same - side interior ang…
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complete the two - column proof using the selections given. write the l…
2. E 3. \(m\angle LMP = m\angle NMP\) 6. C
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summary coordinate axes can be used to graph the locations of ordered p…
graph of an ordered pair ### 2.
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complete the two - column proof using the selections given. write the l…
2. C (Segment Addition Postulate) 4. B (Subtraction Property of Equality)
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the figure shows a smaller square within a larger square. a point is ch…
0.25
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1. what does the name pi stand for? (you will have two answers) how mig…
1. "Pi" stands for: - Piscine Molitor Patel (his full name, “Piscine” is nicknamed “Pi”). - The mathematical constant $\boldsymbol{\pi}$ (the ratio of a circle’s circumference to …
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question 8 of 10 what is the volume of the cone below? image of a cone …
C. \( 264\pi \) units\(^3\) Wait, no, let's recalculate. The volume of a cone is \( V = \frac{1}{3}\pi r^2 h \). Here, radius \( r = 6 \), height \( h = 22 \). So \( V = \frac{1}{…
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kuta software - infinite geometry using similar polygons the polygons i…
s: 1) \( \boldsymbol{16} \) 3) \( \boldsymbol{5} \) 5) \( \boldsymbol{5} \)
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what is the area of the rectangle? (image shows a rectangle with side l…
48 square centimeters
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in the figure below, $m\\angle jkm = 78^\\circ$, $m\\angle lkm = 42^\\c…
\( 57 \)
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what is the volume of the regular pyramid below? a. 2700 units³ b. 270 …
The formula for the volume \( V \) of a regular pyramid is \( V=\frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height. The base is a square with side l…
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geometry 1 - maxwell (lms) lesson 1-4 additional practice (lms graded) …
A correct counterexample is \(3\times5 = 15\) (not divisible by 2). But based on the given option (even with the error in A's explanation), if we assume a typo, the intended answe…
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give the coordinates of the vertices of triangle ghi under a dilation a…
\(G' = (12, \frac{33}{2})\) \(H' = (-18, \frac{21}{2})\) \(I' = (-18, -\frac{27}{2})\)
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give the coordinates of d under a dilation about the origin with scale …
The coordinates of \(D\) after dilation are \((-6,15)\)
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give the coordinates of c under a dilation about the origin with scale …
\( (3, 6) \)
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find the perimeter when 108 triangles are put together in the pattern s…
110
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open-ended question given i is the midpoint of \\(\\overline{wn}\\) \\(…
1
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topics: angle addition postulate, segment addition postulate, congruent…
a) Angle Addition Postulate ### Question 2
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find one counterexample to show that the conjecture is false. ∠1 and ∠2…
B. \(m\angle1 = 90^\circ\) and \(m\angle2 = 90^\circ\)
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the following area model shows 6,328 × 4 broken into parts. the image i…
$A = 24000$, $B = 1200$, $C = 80$, $D = 32$
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identify a pattern in the sequence of figures. then use the pattern to …
$\triangle$ (Triangle)
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open-ended question given i is the midpoint of \\overline{wn} w i n wi …
1
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geometry i - maxwell (lms) lesson 1-4 additional practice (u what are t…
33, 41
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use the figure to complete each part. (a) write two other names for ∠cb…
(a): $\boldsymbol{\angle DBC}$ and $\boldsymbol{\angle 2}$ ### Part (b)
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a rectangle has an area of 44 square centimeters. the length of the rec…
4
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16. a e c 8x° b 4x° d x = m∠bcd =
\( x = 15 \), \( m\angle BCD = 60^\circ \)
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use the figure to complete each part. (a) name the vertex of ∠1. (b) na…
$F$ ### Part (b)
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which of the following equations represents a circle in the xy - plane …
C. \((x - 6)^2 + (y - 8)^2 = 36\)
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find the following values. 15. x = m∠fdg =
\(x = 12\) \(m\angle FDG = 120^\circ\)
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what is the volume of the cylinder below? a. 80π units³ b. 60π units³ c…
A. \( 80\pi \) units\(^3\) Wait, no, let's recalculate. The volume of a cylinder (or oblique cylinder) is \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the heigh…
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question 8 of 10 what is the surface area of the right cone below? imag…
D. \( 248\pi \) units\(^2\) (The surface area of a right cone is given by \( SA=\pi r^2+\pi r l \), where \( r \) is the radius and \( l \) is the slant height. Here, \( r = 8 \) …
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find one counterexample to show that the following conjecture is false.…
C. In \( \triangle ABC \) (option C), the right angle is at \( \angle B \), so \( \triangle ABC \) is a right triangle but \( \angle A \) does not measure \( 90^\circ \), showing …
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the figure shows a smaller square within a larger square (larger square…
0.25
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s and r are points on a polygon. s and r are the points under a transla…
\( R' \) is \( (7, 15) \)
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what is the probability that a point randomly chosen in the rectangle i…
$\frac{1}{8}$ (Wait, there may be a miscalculation. Let's re - calculate. The rectangle has length 8 in and width 4 in, so area of rectangle $A_{rect}=8\times4 = 32$ square inches…