Will fan and medal. 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,

The yard is rectangular with a measurement of 7x by 6x.

The fountain is circular with a radius of 2x.

Since we are looking for the remaining area, we need to know the area of the rectangular backyard and the circular fountain.

The formula for a rectangle is

A=lw

where:

l=length

w=width

So,

A = (7x) (6x)

=42x^2

Now for the area of the circular fountain,

A=