Question

page 15 of 15
Area of Trapezoids Quick Check
5 of 55 of 5 Items




Question
Find the area of a trapezoid that has a perimeter of 46, a base length of 13, another base length of 5, and a non-base length of 10. The height of the trapezoid is 9. What is the trapezoid’s area?(1 point)
Responses

117 units2
117 units squared

18 units2
18 units squared

81 units2
81 units squared

162 units2
162 units squared
Skip to navigation

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.

In this case:
- \( b_1 = 13 \) (one base)
- \( b_2 = 5 \) (the other base)
- \( h = 9 \) (the height)

Let's substitute these values into the formula:

\[
\text{Area} = \frac{1}{2} \times (13 + 5) \times 9
\]
\[
\text{Area} = \frac{1}{2} \times 18 \times 9
\]
\[
\text{Area} = \frac{1}{2} \times 162
\]
\[
\text{Area} = 81
\]

Thus, the area of the trapezoid is **81 units squared**.

The correct response is:
**81 units²**.