Will fan and medal!!!

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?
A. 2x^2(75-8π)
B. 150x^2-4πx^2
C. 134πx^2
D. 134x^2

Question

Will fan and medal!!! 

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? 
A. 2x^2(75-8π) 
B. 150x^2-4πx^2
C. 134πx^2
D. 134x^2

mathmale · Answer

Think:  "remaining area of yard" = "area of entire rectangular yard" - "area of fountain."

See what you can do with this.  What expression represents the area of the entire yard?  What expression represents the area of the fountain ?