A family is building a circular fountain in the backyard. The yard is rectangular and measures 14x by 19x and the fountain is going to be circular with a radius of 6x. What's the area of the remaining yard?

A. 230piex^2

B. 230x^2

C. 266x^2

D. 2x^2 (133-18pie)

Remaining yard area = Rectangular yard area - circular fountain area

Rectangular area = LxW

where

L = 19x

W = 14x

substitute the variables

= 14x x 19 x

= 266 x^2

circular fountain area = pi r^2

where r = 6x

subsitute the variable

= 36pi x^2

remaining yard area = 266x^2-36pix^2

= 2x^2 (133-18pie)

The answer would be letter D. 2x^2 (133-18pie)