Question
What is the area of the trapezoid?
height- 6 ft
bottom- 9 ft
top- 3 ft
Left side 8 ft
square feet
height- 6 ft
bottom- 9 ft
top- 3 ft
Left side 8 ft
square feet
Answers
GPT-4o mini
To find the area of a trapezoid, you can use the following 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, and
- \(h\) is the height.
In your case:
- The bottom base \(b_1 = 9\) ft,
- The top base \(b_2 = 3\) ft,
- The height \(h = 6\) ft.
Now, substitute these values into the formula:
\[
\text{Area} = \frac{1}{2} \times (9 + 3) \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 12 \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 72
\]
\[
\text{Area} = 36 \text{ square feet}
\]
The area of the trapezoid is **36 square feet**.
\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]
Where:
- \(b_1\) is the length of the bottom base,
- \(b_2\) is the length of the top base, and
- \(h\) is the height.
In your case:
- The bottom base \(b_1 = 9\) ft,
- The top base \(b_2 = 3\) ft,
- The height \(h = 6\) ft.
Now, substitute these values into the formula:
\[
\text{Area} = \frac{1}{2} \times (9 + 3) \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 12 \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 72
\]
\[
\text{Area} = 36 \text{ square feet}
\]
The area of the trapezoid is **36 square feet**.