Question

find the perimeter of the figure below. notice that one side length is not given. assume that all intersecting sides meet at right - angles. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the missing horizontal side length

The total horizontal length on the bottom is 13 ft. The known horizontal part on the top - left is 7 ft. So the missing horizontal side length is \(13 - 7=6\) ft.

Step2: Find the missing vertical side length

The total vertical length on the right is 16 ft. The known vertical part on the bottom - left is 3 ft. So the missing vertical side length is \(16 - 3 = 13\) ft.

Step3: Calculate the perimeter

Perimeter is the sum of all side - lengths.
\[P=3 + 7+11 + 6+16+13\]
\[P=(3 + 7)+11+(6 + 16)+13\]
\[P = 10+11+22+13\]
\[P=56\] ft

Answer:

56 ft