Afamily is having a pool built in their backyard. their yard is rectangular and measures 14x by 19x and the pool is circular with a radius of 6x. how much of the yard will be left over after the pool is built?

You want to find the area left over after the pool is built, so subtract the area of the pool from the area of the yard.

Area of Yard= Base x Height = 14x*19x = 266x^2
Area of Circle= Pi x Radius^2 = (6x)^2*pi = 36x^2*pi

Now subtract the two areas:
266x^2-(36^2*pi)
266x^2-36x^2*pi

Take 2x^2 as a common factor:
2x^2(133-18pi)

D: 2x^2(133-18pi)

Hope this helps :)

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