Question

name____ period__ area of a trapezoid 1) a = __ 2) a = ____

Explanation:

Step1: Recall trapezoid 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 parallel - sides and $h$ is the height.

Step2: Calculate area of first trapezoid

For the first trapezoid, $b_1 = 8$ ft, $b_2 = 10$ ft, and $h = 11$ ft. Substitute into the formula: $A=\frac{1}{2}(8 + 10)\times11=\frac{1}{2}\times18\times11 = 9\times11=99$ square feet.

Step3: Calculate area of second trapezoid

For the second trapezoid, $b_1 = 3$ miles, $b_2 = 5$ miles, and $h = 2$ miles. Substitute into the formula: $A=\frac{1}{2}(3 + 5)\times2=\frac{1}{2}\times8\times2=8$ square miles.

Answer:

1. 99 square feet
2. 8 square miles