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

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:

\[
\boxed{100 \text{ square units}}
\]

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