Question

Help me step by step pls!

Answer 1

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?

Answer 2

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

Answer 3

Answer choices:

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

36pi(x)^2

Answer 9

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

Answer 10

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

Answer 11

What do you think of D?

Answer 12

how is it D? :/

Answer 13

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

Answer 14

yes lol

Answer 15

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?

Answer 16

yes

Answer 17

Thank you @thushananth01

Answer 18

Anytime