Question

what is the area of the trapezoid? 12 ft. 24 ft. 20 ft. 28 ft. square feet

Explanation:

Step1: Recall area formula

The formula for the area of a trapezoid is $A=\frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the bases and $h$ is the height.

Step2: Identify base and height values

Here, $b_1 = 12$ ft, $b_2=28$ ft and $h = 20$ ft.

Step3: Substitute values into formula

$A=\frac{1}{2}(12 + 28)\times20$.
First, calculate the sum of the bases: $12+28 = 40$ ft.
Then, $A=\frac{1}{2}\times40\times20$.
$\frac{1}{2}\times40=20$, and $20\times20 = 400$ square - feet.

Answer:

400