Question

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

Explanation:

Step1: Calculate semi - circle arc length

The diameter of the semi - circle is 6. The formula for the circumference of a full circle is $C = \pi d$. For a semi - circle, the arc length $l=\frac{1}{2}\pi d$. Substituting $d = 6$, we get $l=\frac{1}{2}\pi\times6 = 3\pi$.

Step2: Add non - curved sides of the figure

The non - curved sides of the figure are two lengths of 8 and one length of 6. The sum of these sides is $8 + 8+6=22$.

Step3: Calculate the perimeter

The perimeter $P$ of the figure is the sum of the semi - circle arc length and the non - curved sides. So $P=3\pi + 22$.
Using $\pi\approx3.14$, we have $P\approx3\times3.14 + 22=9.42+22 = 31.42\approx31.4$.

Answer:

$31.4$