Question

Find the area of a trapezoid that has a perimeter of 46 a base length of 13 another base 1 of 5 in a non-based length of 10 the height of the trapezoid is 9 what is the trapezoid area 81 units 18 units 117 units 162 units

Answer 1

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

From your information, we have:
- \( b_1 = 13 \) (one base)
- \( b_2 = 5 \) (the other base)
- \( h = 9 \) (the height)

Now, let's plug in these values into the formula:

\[
\text{Area} = \frac{1}{2} \times (13 + 5) \times 9
\]

First, calculate the sum of the bases:

\[
13 + 5 = 18
\]

Now, substitute that back into the area formula:

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

Now calculate \( \frac{1}{2} \times 18 \):

\[
\frac{1}{2} \times 18 = 9
\]

Then multiply by the height:

\[
\text{Area} = 9 \times 9 = 81
\]

Thus, the area of the trapezoid is \( 81 \) square units.