Question

1. find the area of this trapezoid. dimensions are in feet.

Explanation:

Step1: Recall trapezoid area formula

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

Step2: Substitute given values

Here, $b_1 = 10$, $b_2 = 13$, and $h = 8$. Substitute these into the formula:
$\text{Area} = \frac{1}{2} \times (10 + 13) \times 8$

Step3: Calculate sum of the bases

First compute $10 + 13 = 23$

Step4: Multiply by height and 1/2

$\text{Area} = \frac{1}{2} \times 23 \times 8 = 23 \times 4$

Step5: Compute final value

$23 \times 4 = 92$

Answer:

92 square feet