Question

What is the area of the trapezoid?
Height - 6 yd
bottom - 7 yd
top - 3 yd
right side - 7 yd
Square Yards

Answer 1

To find the area of a trapezoid, you can use the formula:

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

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

Given:
- Bottom base \(b_1 = 7 \, \text{yd}\)
- Top base \(b_2 = 3 \, \text{yd}\)
- Height \(h = 6 \, \text{yd}\)

Now substitute the values into the formula:

\[
\text{Area} = \frac{1}{2} \times (7 + 3) \times 6
\]
\[
= \frac{1}{2} \times 10 \times 6
\]
\[
= 5 \times 6
\]
\[
= 30 \, \text{square yards}
\]

Therefore, the area of the trapezoid is **30 square yards**.