Question

The length of a rectangular rug is $2$ feet more than its width. If the length of the rug is $8$ feet, what is the area of the rug in square feet?

• A. $16$
• B. $48$
• C. $66$
• D. $80$
• E. $96$

Answer 1

Answer: (B)

$48$

Let the width of the rectangular rug be ${}^{\prime }{x}^{\prime }$.

Since the length of a rectangular rug is $2feet$ more than its width, therefore, the length of the rug is $x+2$.

Also it is given that the length of the rug is $8feet$ which means

$\Rightarrow 8=x+2$

$\Rightarrow x=8-2$

$\Rightarrow x=6$

Therefore, the width of the rug is $6$ feet.

Now, the area of rectangle is Width $\times$ length that is $A=8\times 6=48$

Area of the rectangular rug is $48$ square feet.

Hence, option B is correct.