Question

find the perimeter of the composite figure. the figure is not drawn to scale. 15 m 8 m 7 m 13 m

Explanation:

Step1: Identify missing side lengths

By observing the figure, the vertical side on the left is 15 m, and the vertical side on the right has two - parts: 7 m. The horizontal bottom - side is 13 m and the horizontal top - side has two parts: 8 m. The missing vertical part on the left (above the 7 m vertical part) is \(15 - 7=8\) m and the missing horizontal part on the top (to the left of the 8 m horizontal part) is \(13 - 8 = 5\) m.

Step2: Calculate the perimeter

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

$$P=15 + 5+8+7+13+8$$

$$P=(15 + 5)+(8 + 7)+(13 + 8)$$

$$P = 20+15+21$$

$$P=56$$

Answer:

56 m