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 vertical side length

The total vertical length on the right is 16 ft. The sum of the given vertical lengths on the left is \(10 + 6=16\) ft. So the missing vertical side length is 0 ft (since the vertical lengths on both sides must balance as all - sides meet at right - angles).

Step2: Find the missing horizontal side length

The total horizontal length on the bottom is 11 ft. The given horizontal length on the top is 4 ft. So the missing horizontal side length is \(11 - 4 = 7\) ft.

Step3: Calculate the perimeter

The perimeter \(P\) is the sum of all side - lengths. \(P=4 + 10+7 + 6+11+16\)
\[P=(4 + 10)+(7 + 6)+(11 + 16)=14 + 13+27=54\] ft

Answer:

54 ft