Afamily is having a pool built in their backyard. if their yard is rectangular and measures 10x by 10x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built? write your answer in factored form.

Area of rectangle=legnth times width
area of circle=pi time radius^2

are left=yard-pool

given
legnth an dwidth are 10x
area=10x times 10x=100x^2=yard

area of pool=
pi times (2x)^2
pi times 4x^2
4pix^2=pool

yard-pool=100x^2-4pix^2=(100-4pi)x^2
aprox
87.42x^2 of the yard

minus

It is going to be the third choice