Question

find the perimeter of the composite figure. the figure is not drawn to scale. draw 6 in 6 in 10 in 13 in show your work here hint: to add the square root symbol (√), type
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Explanation:

Step1: Identify vertical side - lengths

The vertical side - lengths are 10 in and 6 in. The sum of vertical sides is \(10 + 6=16\) in.

Step2: Identify horizontal side - lengths

The horizontal side - lengths are 6 in and 13 in. The sum of horizontal sides is \(6 + 13 = 19\) in.

Step3: Calculate perimeter

The perimeter of a figure is the sum of all its outer - side lengths. Since the figure has 4 sides, and we have two pairs of vertical and horizontal sides, the perimeter \(P=(16 + 19)\times2- 2\times6\) (we subtract \(2\times6\) because the 6 - in lengths are double - counted in the initial sum of vertical and horizontal sides). First, \(16+19 = 35\), then \(35\times2=70\), and \(2\times6 = 12\). So \(P=70-12=58\) in.

Answer:

58 in