A15ftx20ft room has a 6ft diameter circular rug in it. how much of the flood is not covered by the rug?

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

Step-by-step explanation:

step 1

Find out the area of the room

The area of the rectangular room is

step 2

Find out the area of the circular rug

The area of the circle is

we have

----> the radius is half the diameter

substitute

step 3

Find out what percentage of the room is not covered by the rug

we know that

300 ft^2 represent the 100%

so

using proportion

Find out what percentage represent the difference (300-28.26)=271.74 ft^2

Let

x ----> the percentage not covered by the rug

Convert to fraction form

Simplify

therefore

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

go and ask your mom to you