Respuesta :
Answer:
Area of a rectangle(A) is multiply the length by its width.
i.e [tex]A = l \times w[/tex] 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.
⇒[tex]\text{Area of the rug} = 36\frac{1}{4} = \frac{145}{4}=36.25[/tex] square feet.
and
width of a rug(w) = [tex]8\frac{3}{4} =8.75[/tex] feet.
By definition of area;
[tex]A = l \times w[/tex]
Substitute the given values we get;
[tex]36.25 = 8.75l[/tex]
Divide both sides by 8.75 we get;
l=4.14285714 feet
Therefore, the length of the rug is, 4.14285714 feet
