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 should be equal to the sum of the horizontal lengths on the top. The top - side horizontal lengths are \(14\) cm. Let the missing horizontal side length be \(x\). We know that \(x + 9=14\), so \(x = 14 - 9=5\) cm.

Step2: Find the missing vertical side length

The total vertical length on the left should be equal to the sum of the vertical lengths on the right. Let the missing vertical side length be \(y\). We know that \(y+7 = 15\), so \(y=15 - 7 = 8\) cm.

Step3: Calculate the perimeter

The perimeter \(P\) of a polygon is the sum of all its side lengths.

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Answer:

\(58\) cm