Question

a rectangular rug has an area of 48 square feet. the width of the rug is 6 feet. what is the length of the rug?
a. 8 feet
b. 42 feet
c. 28 feet
d. 12 feet

Explanation:

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = l\times w$, where $A$ is the area, $l$ is the length and $w$ is the width.

Step2: Rearrange formula to solve for length

We know $A = 48$ square - feet and $w = 6$ feet. Rearranging the formula for $l$ gives $l=\frac{A}{w}$.

Step3: Substitute values

Substitute $A = 48$ and $w = 6$ into the formula: $l=\frac{48}{6}=8$ feet.

Answer:

A. 8 feet