Question

find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place. 15 10

Explanation:

Step1: Calculate the length of the curved part (semicircle)

The formula for the circumference of a full - circle is \(C = \pi d\). For a semicircle, the length \(l=\frac{\pi d}{2}\). Given \(d = 10\), then \(l=\frac{\pi\times10}{2}=5\pi\approx5\times3.14 = 15.7\)

Step2: Calculate the sum of the straight - line parts

We have two sides of length \(15\) and one side of length \(10\). The sum of the straight - line parts \(S=15 + 15+10=40\)

Step3: Calculate the perimeter of the figure

The perimeter \(P\) of the figure is the sum of the length of the semicircle and the sum of the straight - line parts (excluding the diameter of the semicircle which is not on the outer edge). So \(P=15.7+40 = 55.7\)

Answer:

\(55.7\)