EXAMPLE
2.6.14 solution
The diagram
below shows the courtyard at the Institute for Wolverine Studies. The shaded
area represents lawn, while the circular area is a pool. Gomer has a contract
to mow the lawn. He charges $0.02 per square foot for this service. Find the
total cost for this job (he will mow the lawn, but not the pool).
We need to find
the area of region to mowed (in square feet) and multiply by the cost factor of
$0.02 per square foot.
The area of the
region to be mowed is equal to the area of the rectangle minus the area of the
circular pool:
Area to be mowed
= (100)(100) Ð ¹(25)2 = 10,000 Ð 1963.5 = 8036.5 sq. ft.
Cost = (8036.5 sq. ft.)($0.02 per sq. ft.) = $160.73