Question

what is the perimeter of the polygon? 62 in 124 in 715 in 957 in

Explanation:

Step1: Analyze the polygon's sides

By using the property of translation (shifting sides), we can transform the given polygon into a rectangle. The length of the rectangle is \(33\) in and the width is \(18 + 11=29\) in.

Step2: Use the perimeter formula for a rectangle

The formula for the perimeter of a rectangle is \(P = 2\times(\text{length}+\text{width})\). Substitute length \(l = 33\) and width \(w=29\) into the formula: \(P=2\times(33 + 29)\).
First, calculate the sum inside the parentheses: \(33+29 = 62\). Then multiply by \(2\): \(2\times62=124\).

Answer:

\(124\) in (the second option)