Q18. - Algebra 1

Question

Find the perimeter of each figure. Round to the nearest tenth.

Step-by-Step Solution

Answer

The perimeter of the given figure is 15.4 inches.

Step 1. Given information.

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

Step 2. Concept used.

The perimeter of a polygon is the sum of the lengths of its sides.

 

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

Step 3. Calculations.

The circumference of a circle

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

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

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

Rounding off to the nearest tenth, we get,

$P=15.4\mathrm{inches}$

Thus, the perimeter of the figure is 15.4 inches.