Afamily is building a circular fountain in the backyard. the yard is rectangular and measures 10x by 15 and the fountain is going to be circular with a radius of 4x. once the fountain is built, what will be the area of the remaining yard? a.) 2x^2 (75-8 ) b.) 150x^2-4 x^2 c.) 134 x^2 d.) 134x^2

The correct question is
A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?

Step  1
find the area of rectangular yard (A1)
A1=(10*x)*15*x=150*x² units²

Step 2
find the area of the circular fountain (A2)
A2=pi*r²> pi*(4x)²=16*pi*x²

Step 3
find  the area of the remaining yard (A3)

A3=A1-A2> 150*x²-16*pi*x²> x²*[150-16*pi]> 2*x²*[75-8*pi]

the answer is the option A) 
 2x² (75-8pi )

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