Question

what is the area of the trapezoid? 6 yd. 20 yd. 21 yd. 9 yd. square yards submit

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 sides, and $h$ is the height.

Step2: Identify given values

Here, $b_1 = 6$ yd, $b_2 = 9$ yd, and $h = 20$ yd.

Step3: Substitute values into formula

$$\text{Area} = \frac{1}{2} \times (6 + 9) \times 20$$

Step4: Calculate sum of bases

$6 + 9 = 15$

Step5: Compute final area

$$\text{Area} = \frac{1}{2} \times 15 \times 20 = 15 \times 10 = 150$$

Answer:

150 square yards