find the perimeter and total area of the composite shape shown below. all measurements are given in inches. use $\pi=3.14$ in any formulas used.
perimeter $=50.24$ inches, area $=264.96$ square inches
perimeter $=12.56$ inches, area $=114.24$ square inches
perimeter $=100.48$ inches, area $=164.48$ square inches
perimeter $=50.24$ inches, area $=164.48$ square inches

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Accepted Answer

# Explanation:
## Step1: Calculate the perimeter
The shape's perimeter is composed of 4 semi - circles (which is equivalent to 2 full circles). The formula for the circumference of a circle is $C = 2\pi r$. Here $r = 4$ inches.
$$
\begin{align*}
C_{total}&=2\times(2\pi r)\
&=4\times3.14\times4\
& = 50.24\text{ inches}
\end{align*}
$$
## Step2: Calculate the area
The area is the sum of the area of 2 circles ($A_{circle}=\pi r^{2}$) and the area of the square ($A_{square}=s^{2}$, where $s = 8$ inches).
$$
\begin{align*}
A_{total}&=2\times(\pi r^{2})+s^{2}\
&=2\times(3.14\times4^{2})+8^{2}\
&=2\times(3.14\times16)+64\
&=100.48 + 64\
&=164.48\text{ square inches}
\end{align*}
$$

# Answer:
Perimeter $ = 50.24$ inches, Area $ = 164.48$ square inches

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QUESTION IMAGE

Question

Explanation:

Step1: Calculate the perimeter

Step2: Calculate the area

Answer: