Question

The area of the rug is 36 1/4 square feet the rug is 8 3/4. what is the length of the rug?

Answer 1

36.25 = 8.75*x
36.25/8.75 = x

x = 4.1428571429 feet in length

Answer 2

Area of a rectangle(A) is multiply the length by its width.

i.e
`A = l * w` where l is the length and w is the width of the rectangle respectively

As per the given statement:

The area of the rug is 36 1/4 square feet the rug is 8 3/4.

⇒
`\text{Area of the rug} = 36(1)/(4) = (145)/(4)=36.25` square feet.

and

width of a rug(w) =
`8(3)/(4) =8.75` feet.

By definition of area;

`A = l * w`

Substitute the given values we get;

`36.25 = 8.75l`

Divide both sides by 8.75 we get;

l=4.14285714 feet

Therefore, the length of the rug is, 4.14285714 feet