Question

find the perimeter of the figure below, composed of a parallelogram and one semicircle. rounded to the nearest tenths place

Explanation:

Step1: Calculate semi - circle arc length

The formula for the circumference of a full - circle is $C = 2\pi r$. For a semi - circle, the arc length $l$ is $\frac{1}{2}\times2\pi r=\pi r$. Given $r = 4$, then $l=\pi\times4\approx3.14\times4 = 12.56$.

Step2: Identify parallel - ogram side lengths

The parallel - ogram has two side lengths of 4 and one side length of 16.

Step3: Calculate perimeter of the figure

The perimeter $P$ of the figure is the sum of the semi - circle arc length and the non - overlapping side lengths of the parallelogram. So $P=12.56 + 4+4 + 16$.
$P=12.56+24=36.56\approx36.6$.

Answer:

$36.6$