Question

finding the perimeter of a trapezoid
use the diagram of the trapezoid in figure a to answer the questions.
figure a
5.83 m
5 m
9 m
5.1 m
what is the perimeter of the trapezoid? □ m
round your result to two decimal places as needed.

Explanation:

Step1: Recall perimeter formula for trapezoid

The perimeter \( P \) of a trapezoid is the sum of all its side lengths. So, \( P = a + b + c + d \), where \( a, b, c, d \) are the lengths of the four sides.

Step2: Identify the side lengths

From the diagram, the side lengths are \( 5\space m \), \( 5.1\space m \), \( 9\space m \), and \( 5.83\space m \).

Step3: Sum the side lengths

\[

$$\begin{align*} P&= 5 + 5.1 + 9 + 5.83\\ &= 10.1 + 9 + 5.83\\ &= 19.1 + 5.83\\ &= 24.93 \end{align*}$$

\]

Answer:

\( 24.93 \)