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 side length

The vertical side - lengths: $7 + 8=15$ ft. The horizontal side - lengths: $11$ ft and $5$ ft. The missing horizontal side length can be found by considering the overall horizontal dimensions. The sum of the horizontal lengths on one side should equal the sum on the other side. The missing horizontal side length is $11 - 5=6$ ft.

Step2: Calculate the perimeter

The perimeter $P$ of a polygon is the sum of all its side - lengths.
$P=7 + 11+15 + 5+8 + 6$
$P=(7 + 11)+(15 + 5)+(8 + 6)$
$P = 18+20 + 14$
$P=52$ ft

Answer:

$52$ ft