Question

find the perimeter. mi 9 mi 3 mi 4 mi

Explanation:

Step1: Calculate the length of the top side

The top side length is \(4 + 3+4=11\) mi.

Step2: Calculate the perimeter of the rectangle - like shape without the indent

The formula for the perimeter of a rectangle is \(P = 2\times(\text{length}+\text{width})\). Here, if there was no indent, the length is \(11\) mi and the width is \(9\) mi. So \(P_1=2\times(11 + 9)=40\) mi.

Step3: Adjust for the indent

The indent adds two vertical sides. The length of each vertical side of the indent is assumed (by the symmetry of the figure) to be such that we need to add \(2\times3\) mi (the two new vertical segments from the indent).

So the total perimeter \(P=40+6 = 46\) mi.

Answer:

\(46\)