Question

sheila is adding a wrap - around front porch to her home. based on the measurements in the diagram below, what is the perimeter of the new porch? 18 ft 48 ft 46 ft 22 ft label required

Explanation:

Step1: Analyze the figure

By translating the sides, we can find that the perimeter of this figure is equal to the perimeter of a rectangle with length \(18 + 46=64\) ft and width \(48\) ft.

Step2: Calculate the perimeter

The formula for the perimeter of a rectangle is \(P = 2\times(\text{length}+\text{width})\).
Substitute length \(l = 64\) ft and width \(w = 48\) ft into the formula:
\(P=2\times(64 + 48)\)
\(=2\times112\)
\(=224\) ft

Answer:

\(224\) ft