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

Answer:

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

i.e $A = l \times w$ 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.

⇒$\text{Area of the rug} = 36\frac{1}{4} = \frac{145}{4}=36.25$ square feet.

and

width of a rug(w) = $8\frac{3}{4} =8.75$ feet.

By definition of area;

$A = l \times w$

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