Question

find the perimeter of the figure below, composed of a rectangle and two semi - circles. round to the nearest tenths place. 11 4 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Identify the components of the perimeter

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 length of the two rectangle lengths

The length of the rectangle is 11, and there are two such lengths. So the total length of the two rectangle lengths is $2\times11 = 22$.

Step3: Calculate the circumference of the circle

The diameter of the circle (equal to the width of the rectangle) is 4. The formula for the circumference of a circle is $C=\pi d$. So $C = \pi\times4=4\pi$.

Step4: Calculate the total perimeter

The perimeter $P$ of the figure is the sum of the lengths of the rectangle and the circumference of the circle. $P=22 + 4\pi$.
Using $\pi\approx3.14$, we have $P=22+4\times3.14=22 + 12.56=34.56$. Rounding to the nearest tenths place, $P\approx34.6$.

Answer:

$34.6$