Question

find the area of the trapezoid below.

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height between them.

Step2: Identify values from the diagram

Here, $b_1 = 6$ feet, $b_2 = 10$ feet, and $h = 10$ feet.

Step3: Substitute values into formula

$\frac{1}{2} \times (6 + 10) \times 10$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $6 + 10 = 16$
Then multiply by $\frac{1}{2}$: $\frac{1}{2} \times 16 = 8$
Finally multiply by the height: $8 \times 10 = 80$

Answer:

80 square feet