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:
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