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How is this correct?

3. A family is building a circular fountain in the backyard. The yard is rectangular and measures 7x by 6x and the fountain is going to be circular with a radius of 2x. Once the fountain is build, what will be the area of the remaining yard?
A. 38x^2
B. [x] 2x^2 (21 _ 2pi)
C. 42x^2 _ 2pix^2
D. 38pix^2

Respuesta :

Nirina7
the answer is B. [x] 2x^2 (21 _ 2pi)
proof
2x^2 (21 _ 2pi)= 42x^2   -   4pix^2=  rectangular area- circular area

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