Question

A field is to be fertilized at a cost of $0.12 per square yard. The rectangular part of the field is 110 yards long and the diameter of each semicircle is 43 yards. Find the cost of fertilizing the field. Use 3.14 for π.

Answer 1

see the picture in the attached figure

step 1

find the area of rectangle

A=110*43

A=4730 yd²

step 2

find the area of semicircles

we know that two semicircles is equal to one circle

so

Area of the circle=pi*r²

r=43/2

r=21.5 yd

A=pi*21.5²

A=462.25 *pi yd²-------->1,451.465 yd²

total area=area rectangle + area of circle

total area=4,730+1,451.465---------> 6,181.465 yd²

step 3

find the cost

$0.12 per square yard

6,181.465*0.12=$741.78

therefore

the answer is

$741.78