Question

find the perimeter of the figure below, composed of a rectangle and two semicircles. round to the nearest tenths place. 9 8 answer attempt 1 out of 2

Explanation:

Step1: Identify perimeter - forming parts

The perimeter is composed of two lengths of the rectangle and the circumference of a circle formed by the two semi - circles.

Step2: Calculate the circumference of the circle

The diameter of the circle (equal to the width of the rectangle) is $d = 8$. The formula for the circumference of a circle is $C=\pi d$. So $C = 8\pi$.

Step3: Calculate the total length of the two straight parts

The length of the rectangle is $l = 9$, and there are two such lengths, so the total length of the two straight parts is $2\times9=18$.

Step4: Calculate the perimeter

The perimeter $P$ of the figure is the sum of the circumference of the circle and the total length of the two straight parts. So $P=18 + 8\pi$.
Substitute $\pi\approx3.14$: $P=18+8\times3.14=18 + 25.12=43.12$.
Rounding to the nearest tenth, $P\approx43.1$.

Answer:

$43.1$