Find the perimeter of the figure to the nearest hundredth.

Question

asked Oct 15, 2022 219k views

1 Answer

Rick Jolly · Answer 1 · 2022-10-19T08:08:06+0000

Answer:

Perimeter of figure is 31.85 inches

Explanation:

We have a rectangle and semi-circle in the figure.

First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.

First find perimeter of rectangle

The formula used is:
$Perimeter\: of\: rectangle=2(length+width)$

We have width = 7 in

length = 5 in

The perimeter is:

$Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in$

The perimeter of rectangle = 24 in

Now, finding perimeter of semi-circle

The formula used is:
$Perimeter\: of\: semi-circle=(\pi d)/(2)$

Wee have diameter d = 5 in

So, perimeter is:

$Perimeter\: of\: semi-circle=(\pi d)/(2)\\Perimeter\: of\: semi-circle=(3.14* 5)/(2)\\Perimeter\: of\: semi-circle=7.85\:in$

So, Perimeter of semi-circle= 7.85 in

Now, finding Perimeter of figure

Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle

Perimeter of figure = 24 + 7.85

Perimeter of figure = 31.85 inches

So, Perimeter of figure is 31.85 inches