Question

q: what is the area of a trapezoid with bases of length 8 cm and 12 cm, and a height of 5 cm?
a. 50 cm^2
b. 100 cm^2
c. 25 cm^2
d. 480 cm^2

Explanation:

Step1: Recall area formula

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

Step2: Substitute values

Let $b_1 = 8$ cm, $b_2=12$ cm and $h = 5$ cm. Then $A=\frac{(8 + 12)\times5}{2}$.

Step3: Calculate sum of bases

First, calculate $8 + 12=20$ cm.

Step4: Calculate area

Then $A=\frac{20\times5}{2}=\frac{100}{2}=50$ $cm^2$.

Answer:

A. $50$ $cm^2$