Question

find the perimeter of the figure below, composed of a rectangle and two semicircles. round to the nearest tenths place. 11 10

Explanation:

Step1: Identify the components of the perimeter

The perimeter consists of two lengths of the rectangle and the circumference of one - full circle (since two semi - circles make a full circle). The length of the rectangle is 11 and the diameter of the circle is 10.

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is $C=\pi d$, where $d = 10$. So $C=\pi\times10\approx3.14\times10 = 31.4$.

Step3: Calculate the total length of the two straight parts

The length of each straight part (length of the rectangle) is 11, and there are 2 such parts. So the total length of the straight parts is $2\times11=22$.

Step4: Calculate the perimeter of the figure

Add the circumference of the circle and the total length of the straight parts. $P=31.4 + 22=53.4$.

Answer:

53.4