Question

What is the area of the trapezoid?
height 20 yd
bottom 9 yd
top 6 yd
right 21 yd
square yards

Answer 1

To find the area of the trapezoid, we can use the following formula:

\[
\text{Area} = \frac{1}{2} \cdot (b_1 + b_2) \cdot h
\]

Where:
- \( b_1 \) is the length of the bottom base.
- \( b_2 \) is the length of the top base.
- \( h \) is the height.

Given:
- \( b_1 = 9 \, \text{yd} \)
- \( b_2 = 6 \, \text{yd} \)
- \( h = 20 \, \text{yd} \)

Now, substituting the values into the area formula:

\[
\text{Area} = \frac{1}{2} \cdot (9 + 6) \cdot 20
\]
\[
\text{Area} = \frac{1}{2} \cdot 15 \cdot 20
\]
\[
\text{Area} = \frac{1}{2} \cdot 300
\]
\[
\text{Area} = 150 \, \text{square yards}
\]

Thus, the area of the trapezoid is \(150\) square yards.