Afield is to be fertilized at a cost of $0.07 per square yard. the rectangular part of the field is 125 yd long and the diameter of each semicircle is 40 yd. find the cost of fertilizing the field.

The cost of fertilizing the field is

Step-by-step explanation:

we know that

The area of the figure is equal to the area of the rectangle plus the area of a complete circle (two semicircles)

Step 1

Find the area of the rectangle

The area of rectangle is equal to

where

L is the length side of rectangle

w is the width side of the rectangle

In this problem we have

substitute

Step 2

Find the area of the circle

The area of the circle is equal to

where

r is the radius of the circle

In this problem we have

substitute

Step 3

Find the area of the figure

Adds the area of rectangle and the area of the circle

Step 4

Find the cost

Multiply the total area by

so

translate k to n and reflect across the line containing jk.