Question

Find the area of the trapezoid. Be sure to include the correct unit in your answer.

b1 (Top base) is 11in
B2 (Bottom base) is 14 in but there's a four beside it
and H (Height) is 8

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 top base, \( b_2 \) is the length of the bottom base, and \( h \) is the height.

Given:
- \( b_1 = 11 \) inches
- \( b_2 = 14 \) inches (the "4" beside it is not needed for the calculation)
- \( h = 8 \) inches

Now, plugging in the values into the formula:

\[
\text{Area} = \frac{1}{2} \times (11 + 14) \times 8
\]
\[
= \frac{1}{2} \times 25 \times 8
\]
\[
= \frac{1}{2} \times 200
\]
\[
= 100
\]

Therefore, the area of the trapezoid is

\[
\text{Area} = 100 \, \text{in}^2.
\]

So, the final answer is **100 in²**.