Question

1. Use the figure shown to complete part a and b.

a) Find the area of the figure. Show all work (formulas, plugged in values, math calculations) for full credit.





b) Find the perimeter of the figure. Show all work (formulas, plugged in values, math calculations) for full credit..

Answer 1

a) 745.43 cm²

b)129.26 cm

Explanation:

a) The area of the figure is the sum of the area of the rectangle and the area of the semicircle.

Keeping this on mind, you have that the area of the figure is:

`A_(figure)=A_(rectangle)+A_(semicircle)\\A_(figure)=length*width+(radius^(2)\pi)/(2)\\A_(figure)=(25cm)(20cm)+((12.5cm)^(2)\pi)/(2)\\A_(figure)=745.43cm^(2)`

b) The perimeter of the figure is:

`P_(figure)=(2length+2width)+(diameter*\pi)/(2)=2(25cm)+2(20cm)+((25cm)\pi)/(2)=129.26cm`