Question

This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for π . Enter your answer as a decimal in the box. please help giving away lots of points

Answer 1

59.28 cm

Explanation:

The perimeter of the shape is given by the formula:

Let the perimeter of the rectangle be P = 2 (20+ 2)

= 84 cm

The perimeter of the quarter circle be =
`(1)/(4) (\pi * 22)`

= 17.28 cm

Total perimeter = 20 + 2 + 9 + 11 + 17.28

= 59.28 cm

Answer 2

`61.27\ cm`

Explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a quarter circle

so

Find the perimeter of the rectangle

The perimeter of rectangle is equal to

`P=2(L+W)`

we have

`L=20\ cm`

`W=2\ cm`

substitute

`P=2(20+2)=44\ cm`

Find the circumference of a quarter circle

`C=(1)/(4)2\pi r`

we have

`r=11\ cm`

substitute

`C=(1)/(4)*2*(3.14)*(11)=17.27\ cm`

Find the perimeter of the figure

`44\ cm+17.27\ cm=61.27\ cm`