Chapter 0.7, Problem 18E

To determine

To calculate: The perimeter of the figure given in the question.

Answer to Problem 18E

The perimeter of the figure is $\text{15}\text{.4 inches}$ .

Explanation of Solution

Given information:

The figure given in the question.

Formula used:

Perimeter $\left(P\right)$ of a polygon is sum of lengths of its sides.

Circumference $\left(C\right)$ of a circle with diameter d is given by $C=\pi d$ .

Calculation:

In the figure there are two semi-circles with diameter 3 inches on two sides of the square with side 3 inches.

Here, perimeter of the given figure will be equal to sum of circumference of circle and two sides of square.

Recall that the circumference $\left(C\right)$ of circle with diameter d is given by $C=\pi d$ .

Apply it,

  $\begin{array}{c}C=3.14\times 3\\ =9.42\end{array}$

Now, recall that the perimeter $\left(P\right)$ of a polygon is sum of lengths of its sides.

Apply it,

  $\begin{array}{c}P=9.42+3+3\\ =15.42\end{array}$

Rounding off to the nearest tenth, we get,

  $P=\text{15}\text{.4 inches}$

Thus, the perimeter of the figure is $\text{15}\text{.4 inches}$ .