Help me step by step pls!

Question

qwertykingghlpo · Answer

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. once the fountain is built, what will be the area of the remaining yard?

anonymous · Answer

What is the area of a rectangle ? What is the area of a circle?

qwertykingghlpo · Answer

Answer  choices:

A. 230 (pi)x^2
B. 230 x^2
C. 266x^2 - 6(pi)x^2
D. 2x^2 (133 - 18(pi))

anonymous · Answer

Find area of rectangle. Find area of circle. Rectangle minus circle is left.

qwertykingghlpo · Answer

So far I have found that the area of the rectangle is 266x and the circle is 113.04

anonymous · Answer

Good job! The area of the circle is wrong though, you are given the radius = 6x, therefore area = pi * (6x)^2 =

qwertykingghlpo · Answer

hrm. I got the same answer...what is it? :/

anonymous · Answer

36pi(x)^2

anonymous · Answer

Which of the choices has 36pi(x)^2

qwertykingghlpo · Answer

none but, one of them show the sum of 266 being subtracted by it so is it A?

anonymous · Answer

What do you think of D?

qwertykingghlpo · Answer

how is it D? :/

anonymous · Answer

The remaining area is the difference between the rectangle and circle. Do you understand that part?

qwertykingghlpo · Answer

yes lol

anonymous · Answer

The area of the rectangle is 266x 
The area of the circle is 36pi(x)^2
The difference would be
266x^2 - 36pi(x)^2
Notice that x^2 is common to the equation, factoring it out will lead to
2x^2(133-18pi)
Isn't this D?

qwertykingghlpo · Answer

yes

qwertykingghlpo · Answer

Thank you @thushananth01

anonymous · Answer

Anytime