Question

The shape below contains a rectangle and four semi-circles. What is the perimeter of the shape above? What is the area of the shape above? Round your responses to two decimal places.

Answer 1

Answer:

Step-by-step explanation:

lets find out the perimeter P

P rectangle= 2*L+2*W=(2*5)+(2*13)=10+26=36

P small semi-circle ( we have 2), where the d=5, r=2.5

Circumference small circle=2*3.14*r= 2*3.14*2.5=15.70

P 2 small circles=15.70*2=31.40

but we need just half of this, because we have semicircles=15.70

Circumference big semicircle (we have 2), where d=13, r=6.5

C big circle=2*3.14*6.5=40.82

Ps big circle=2*40.82=81.64

we need half of this also, so is 40.82

P total figure=36+15.70+40.82=92.52

Area rectangle=5*13=65

Area small circle, basically the 2 semicircle = 1 circle

Area=3.14*r^2=3.14*2.5^2=19.63

Area big circle=3.14*6.5^2=132.73

Area total figure=65+19.63+132.73=217.36