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find the perimeter of the figure below. notice that one side length is …

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 lengths

The vertical missing - side length is \(5 + 8=13\) yd (since the vertical sides on the left and middle must add up to the vertical side on the right). The horizontal missing - side length is \(16 - 9 = 7\) yd.

Step2: Calculate the perimeter

The perimeter \(P\) of a polygon is the sum of all its side lengths.
\(P=5 + 9+8 + 7+13+16\)
\(P=(5 + 9)+8+(7 + 13)+16\)
\(P = 14+8 + 20+16\)
\(P=(14 + 8)+(20 + 16)\)
\(P=22+36\)
\(P = 58\) yd

Answer:

58 yd