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the perimeter of the figure is 52 m. 16 m 15 m 17 m? m what is the leng…

Question

the perimeter of the figure is 52 m. 16 m 15 m 17 m? m what is the length of the missing side?

Explanation:

Step1: Recall perimeter formula

Perimeter \(P=a + b+ c + d\) (for a quadrilateral), where \(P = 52\) m, \(a = 16\) m, \(b = 15\) m, \(c = 17\) m, and \(d\) is the missing side.

Step2: Rearrange formula to find \(d\)

\(d=P-(a + b + c)\)
Substitute values: \(d = 52-(16 + 15+17)\)
First, calculate the sum inside the parentheses: \(16 + 15+17=48\) m
Then, \(d = 52 - 48\)
\(d = 4\) m

Answer:

\(4\) m