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.
5 cm
9 cm
15 cm
13 cm

Explanation:

Step1: Find the missing vertical side length

Since all intersecting sides meet at right angles, the missing vertical side length is \(15 - 9=6\) cm.

Step2: Find the missing horizontal side length

The missing horizontal side length is \(13-(8 + 5)=0\) cm (this is just a check, in reality, we can use the perimeter formula for rectangles concept - by moving the sides, we can consider it as a rectangle with length \(13\) cm and width \(15\) cm)

Step3: Calculate the perimeter

The perimeter of a rectangle is \(P = 2\times(\text{length}+\text{width})\). Here, length \(l = 13\) cm and width \(w = 15\) cm. So \(P=2\times(13 + 15)\)

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Answer:

\(56\) cm