Question

what is the area of the trapezoid?

square yards

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 two parallel sides (bases) and $h$ is the height (the perpendicular distance between the bases).

Step2: Identify the values

From the trapezoid, the two bases are $b_1 = 11$ yd and $b_2 = 5$ yd, and the height $h = 8$ yd.

Step3: Substitute values into the formula

Substitute $b_1 = 11$, $b_2 = 5$, and $h = 8$ into the formula:

$$\begin{align*} A&=\frac{1}{2}(11 + 5)\times 8\\ &=\frac{1}{2}(16)\times 8\\ &= 8\times 8\\ &= 64 \end{align*}$$

Answer:

64