Question

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

Explanation:

Step1: Calculate semicircle arc length

The formula for the circumference of a full - circle is $C = 2\pi r$. For a semi - circle, the arc length $l$ with diameter $d = 4$ (so radius $r=\frac{d}{2}=2$) is $l=\frac{1}{2}\times2\pi r=\pi r$. Substituting $r = 2$, we get $l=\pi\times2=2\pi$.

Step2: Identify parallel - ogram sides for perimeter

In the parallelogram, we need to consider the non - shared sides. The two non - shared sides of the parallelogram have lengths 11 and 4.

Step3: Calculate the perimeter of the figure

The perimeter $P$ of the figure is the sum of the semi - circle arc length and the two non - shared sides of the parallelogram. So $P=2\pi+11 + 4$.
$P=2\pi+15$.
Substituting $\pi\approx3.14$, we have $P\approx2\times3.14 + 15=6.28+15 = 21.28\approx21.3$.

Answer:

$21.3$