Question

lesson 5: quadrilaterals
quadrilaterals and area formulas
what is the area of a trapezoid with one base 7 cm, another base 5 cm, and a height of 6 cm?
a. 42 squared cm
b. 18 squared cm
c. 36 squared cm
d. 72 squared cm
check answer

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the bases and $h$ is the height.

Step2: Substitute given values

Given $b_1 = 7$ cm, $b_2=5$ cm and $h = 6$ cm. Then $A=\frac{(7 + 5)\times6}{2}$.
First, calculate the sum of the bases: $7+5=12$ cm.
Then, multiply by the height: $12\times6 = 72$ $cm^2$.
Finally, divide by 2: $\frac{72}{2}=36$ $cm^2$.

Answer:

C. 36 squared cm