Question

what is the area?
3 yd
9 yd
5 yd
square yards

Explanation:

Step1: Identify the shape and formula

The figure is a trapezoid. The formula for the area of a trapezoid is $A = \frac{(a + b)}{2} \times h$, where $a$ and $b$ are the lengths of the two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases).
Here, $a = 3$ yd, $b = 5$ yd, and $h = 9$ yd.

Step2: Substitute values into the formula

Substitute $a = 3$, $b = 5$, and $h = 9$ into the formula:
$A = \frac{(3 + 5)}{2} \times 9$

Step3: Simplify the expression

First, calculate the sum of the bases: $3 + 5 = 8$.
Then, divide by 2: $\frac{8}{2} = 4$.
Finally, multiply by the height: $4 \times 9 = 36$.

Answer:

36