Question

find the area of the geometric figure.
trapezoid with top base 4 yd, height 4 yd, bottom base 7 yd
the area is □ . (simplify your answer.)

Explanation:

Step1: Recall trapezoid area formula

The area formula for 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 values

From the trapezoid, $b_1 = 4$ yd, $b_2 = 7$ yd, and $h = 4$ yd.

Step3: Substitute into formula

Substitute the values into the formula: $A = \frac{1}{2}(4 + 7) \times 4$.

Step4: Simplify the expression

First, calculate the sum inside the parentheses: $4 + 7 = 11$. Then, multiply by $\frac{1}{2}$ and 4: $\frac{1}{2} \times 11 \times 4 = 11 \times 2 = 22$.

Answer:

22 square yards