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
My answer is A

Please correct me if I'm wrong.

Im basically suppose to

Find the area of the rectangle.
Find the area of the circle.
Subtract the area of the circle from the area of the rectangle.

I'm guessing D

The answer should be D..... because for finding out the remainig area you'll have to minus the area of circle from area of rectangle i.e ((10x)×(15x)) minus (pi×(4x)^2)

This will give you D.

D is wrong. It is not B, nor C. Duh.

15x*10x-PI*(4x)^2
2x^2(75-8PI)

what is it\

its A

The only reason I dissed you in the first place is because you denied seeing me... Now I'm pissed off. ;)

Mariah carey diss eminen, @thisonehereonanotherlevel

Mariah carey diss eminen, or warning shots

@thisonehereonanotherlevel

To find the area of the remaining yard, we first need to find the total area of the yard and then subtract the area of the circular fountain from it.

The total area of the rectangular yard is given as 10x by 15x, which means the area is 10x * 15x = 150x^2.

The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius. In this case, the radius of the fountain is given as 4x, so the area of the circular fountain is A = π(4x)^2 = 16πx^2.

Next, we subtract the area of the circular fountain from the total area of the yard to find the remaining area: 150x^2 - 16πx^2.

Now, let's simplify this expression:

150x^2 - 16πx^2 = 2x^2(75 - 8π).

So, the correct answer is indeed A, which is 2x^2(75 - 8π). Well done!