Question

find the perimeter of the figure shown. express the perimeter using the same unit of measure that appears on the given sides.
perimeter=

Explanation:

Step1: Find the length of the bottom - side

The bottom - side length is \(5 + 9=14\) ft.

Step2: Find the length of the left - hand side

The left - hand side length is \(5 + 7 = 12\) ft.

Step3: Calculate the perimeter

The perimeter of a polygon is the sum of all its side lengths. Using the formula for the perimeter of a rectangle (since we can "re - arrange" the sides of the given figure to form a rectangle conceptually, \(P=2\times(\text{length}+\text{width})\)). Here, length \(l = 14\) ft and width \(w = 12\) ft. So \(P=2\times(14 + 12)\).
First, calculate the sum inside the parentheses: \(14+12=26\). Then multiply by 2: \(2\times26 = 52\).

Answer:

\(52\) ft