3. find the area of the rectangle
4. find the area of the parallelogram
5. the area of a triangle is 128 square centimeters, and the height is 8 centimeters. what is the base of the triangle?
6. find the area of the square
7. find the area of the parallelogram. round to the nearest tenth.
8. the length of a rectangle is 16.2 inches, and the area of the rectangle is 202.5 square inches. what is the width of the rectangle in inches?
9. the dimensions of a patio shaped like a trapezoid are given in meters. find the area of the trapezoid in square meters?
10. a right rectangular prism with a square base is shown. the volume of the prism is 325 square units. what is the height, h, of the prism?

Question

Accepted Answer

### 3.
# Explanation:
## Step1: Recall area formula for rectangle
The formula for the area of a rectangle is $A = l	imes w$, where $l$ is the length and $w$ is the width. Here $l = 13$ cm and $w=7.3$ cm.
## Step2: Calculate the area
$A=13	imes7.3 = 94.9$ $cm^{2}$
# Answer:
$94.9$ $cm^{2}$

### 4.
# Explanation:
## Step1: Recall area formula for parallelogram
The formula for the area of a parallelogram is $A = b	imes h$, where $b$ is the base and $h$ is the height. Here $b = 15$ in and $h = 9$ in.
## Step2: Calculate the area
$A=15	imes9=135$ $in^{2}$
# Answer:
$135$ $in^{2}$

### 5.
# Explanation:
## Step1: Recall area formula for triangle
The formula for the area of a triangle is $A=\frac{1}{2}	imes b	imes h$. We know $A = 128$ $cm^{2}$ and $h = 8$ cm, and we need to find $b$.
## Step2: Rearrange the formula to solve for $b$
From $A=\frac{1}{2}	imes b	imes h$, we can get $b=\frac{2A}{h}$.
## Step3: Substitute values
$b=\frac{2	imes128}{8}=32$ cm
# Answer:
$32$ cm

### 6.
# Explanation:
## Step1: Determine side - length of square
The diameter of the inscribed circle is $3$ cm, so the side - length of the square $s$ is equal to the diameter of the circle, $s = 3$ cm.
## Step2: Recall area formula for square
The formula for the area of a square is $A=s^{2}$.
## Step3: Calculate the area
$A = 3^{2}=9$ $cm^{2}$
# Answer:
$9$ $cm^{2}$

### 7.
# Explanation:
## Step1: Recall area formula for parallelogram
The formula for the area of a parallelogram is $A = b	imes h$, where $b$ is the base and $h$ is the height. Here $b = 8.25$ in and $h = 5.4$ in.
## Step2: Calculate the area
$A=8.25	imes5.4 = 44.55\approx44.6$ $in^{2}$
# Answer:
$44.6$ $in^{2}$

### 8.
# Explanation:
## Step1: Recall area formula for rectangle
The formula for the area of a rectangle is $A = l	imes w$. We know $A = 202.5$ $in^{2}$ and $l = 16.2$ in, and we need to find $w$.
## Step2: Rearrange the formula to solve for $w$
From $A = l	imes w$, we can get $w=\frac{A}{l}$.
## Step3: Substitute values
$w=\frac{202.5}{16.2}=12.5$ in
# Answer:
$12.5$ in

### 9.
# Explanation:
## Step1: Recall area formula for trapezoid
The formula for the area of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel sides and $h$ is the height. Here $a = 7$ m, $b = 13$ m and $h = 9$ m.
## Step2: Calculate the area
$A=\frac{(7 + 13)	imes9}{2}=\frac{20	imes9}{2}=90$ $m^{2}$
# Answer:
$90$ $m^{2}$

### 10.
# Explanation:
## Step1: Determine base - area of the prism
Since the base is a square with side - length $s = 5$ units, the base - area $B=s^{2}=5^{2}=25$ square units.
## Step2: Recall volume formula for prism
The formula for the volume of a prism is $V=B	imes h$. We know $V = 325$ square units and $B = 25$ square units, and we need to find $h$.
## Step3: Rearrange the formula to solve for $h$
From $V=B	imes h$, we can get $h=\frac{V}{B}$.
## Step4: Substitute values
$h=\frac{325}{25}=13$ units
# Answer:
$13$ units

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

3.

Step1: Recall area formula for rectangle

Step2: Calculate the area

Step1: Recall area formula for parallelogram

Step2: Calculate the area

Step1: Recall area formula for triangle

Step2: Rearrange the formula to solve for $b$

Step3: Substitute values

Answer:

4.