Question

question 7
what is the area of the triangle given below?
a. 70 sq. units
b. 35 sq. units
c. 19 sq. units
d. 38 sq. units

question 8
what is the area of the triangle given below?
a. 13 sq. units
b. 11 sq. units
c. 8 sq. units
d. 22 sq. units

question 9
which best describes the area of a polygon?
a. the distance around the outside edge
b. the number of square units contained in the interior
c. the number of cubic units contained in the interior
d. the product of the side lengths

question 10
the area of a triangle is 24 sq. inches. if the base of the triangle is 6 inches, what is its height?
a. 8 inches
b. 2 inches
c. 9 inches
d. 4 inches

Explanation:

Question 7

Step1: Recall triangle area formula

Area = $\frac{1}{2} \times \text{base} \times \text{height}$

Step2: Substitute given values

Base = 14, Height = 5
Area = $\frac{1}{2} \times 14 \times 5$

Step3: Calculate the area

Area = $7 \times 5 = 35$

Question 8

Step1: Recall triangle area formula

Area = $\frac{1}{2} \times \text{base} \times \text{height}$

Step2: Substitute given values

Base = 11, Height = 2
Area = $\frac{1}{2} \times 11 \times 2$

Step3: Calculate the area

Area = $11 \times 1 = 11$

Question 9

Step1: Define polygon area

Area measures 2D interior space, counted in square units.

Step2: Eliminate incorrect options

• A = perimeter, C = volume, D = not a general rule.

Question 10

Step1: Rearrange area formula for height

$\text{Height} = \frac{2 \times \text{Area}}{\text{base}}$

Step2: Substitute given values

Area = 24, Base = 6
$\text{Height} = \frac{2 \times 24}{6}$

Step3: Calculate the height

$\text{Height} = \frac{48}{6} = 8$

Answer:

Question 7: B. 35 sq. units
Question 8: B. 11 sq. units
Question 9: B. The number of square units contained in the interior
Question 10: A. 8 inches