Question

A family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built?

a. 38x2
b. 42x2 – 4x2
c. 42x2 – 2x2
d. 38x2

Answer 1

Area of a rectangular yard:
A 1 = L x W = 7 x * 6 x = 42 x²
Area of a pool:
A 2 = r² π = ( 2 x )² π = 4 x² π
A = A 1 - A 2
A = 42 x² - 4 x² π
Answer: B ) 42 x² - 4 x² π