Question
Find the area of the trapezoid. Be sure to include the correct unit in your answer.
Top base (b1) is 11
Bottom base is 14 and A (short base) is 4
H - height is 8
Top base (b1) is 11
Bottom base is 14 and A (short base) is 4
H - height is 8
Answers
GPT-4o mini
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 top base, \( b_2 \) is the length of the bottom base, and \( h \) is the height.
In this case:
- \( b_1 = 11 \)
- \( b_2 = 14 \)
- \( h = 8 \)
Now, plug in the values:
\[
\text{Area} = \frac{1}{2} \times (11 + 14) \times 8
\]
\[
= \frac{1}{2} \times 25 \times 8
\]
\[
= \frac{1}{2} \times 200
\]
\[
= 100
\]
Thus, the area of the trapezoid is \( 100 \) square units.
So the final answer is:
\[
\boxed{100 \text{ square units}}
\]
\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]
where \( b_1 \) is the length of the top base, \( b_2 \) is the length of the bottom base, and \( h \) is the height.
In this case:
- \( b_1 = 11 \)
- \( b_2 = 14 \)
- \( h = 8 \)
Now, plug in the values:
\[
\text{Area} = \frac{1}{2} \times (11 + 14) \times 8
\]
\[
= \frac{1}{2} \times 25 \times 8
\]
\[
= \frac{1}{2} \times 200
\]
\[
= 100
\]
Thus, the area of the trapezoid is \( 100 \) square units.
So the final answer is:
\[
\boxed{100 \text{ square units}}
\]