Question

What is the area of the trapezoid?
height 7 m
bottom 11 m
top 7 m
right 9 m
square meters

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 \( b_1 \) and \( b_2 \) are the lengths of the two bases, and \( h \) is the height of the trapezoid.

In your case:

- The top base (\( b_1 \)) is 7 m.
- The bottom base (\( b_2 \)) is 11 m.
- The height (\( h \)) is 7 m.

Now, plug in the values:

\[
\text{Area} = \frac{1}{2} \times (7 + 11) \times 7
\]

Calculating the sum of the bases:

\[
7 + 11 = 18
\]

Now substitute back into the area formula:

\[
\text{Area} = \frac{1}{2} \times 18 \times 7 = 9 \times 7 = 63
\]

Thus, the area of the trapezoid is:

\[
\text{Area} = 63 \text{ square meters}
\]