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

Answer:

$61.27\ cm$

Step-by-step 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

$C=\frac{1}{4}2\pi r$

we have

$r=11\ cm$

substitute

$C=\frac{1}{4}*2*(3.14)*(11)=17.27\ cm$

Find the perimeter of the figure

$44\ cm+17.27\ cm=61.27\ cm$

Answer 2

Answer:

59.28 cm

Step-by-step 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     = $\frac{1}{4} (\pi * 22)$

                                                                    = 17.28 cm

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

                           = 59.28 cm