Question

A floor rug is rectangular in shape, the width of the rug is 3 feet less than its length. The perimeter of the rug is 42 ft. What are the rug dimensions ?

Answer 1

Answer:

Length = 12 feet , Width = 9 feet

Explanation:

• Let the length of the rug = l feet

The width of the rug is 3 feet less than its length, therefore:

• Width of the rug =(l-3) feet

,

• Perimeter of the rug = 42 ft.

Perimeter of a rectangle = 2(Length + Width)

Therefore:

42 = 2(l+l-3)

We solve the equation above for l.

$\begin{gathered} 42=2\mleft(l+l-3\mright) \\ \frac{42}{2}=2l-3 \\ 21=2l-3 \\ 2l=21+3 \\ 2l=24 \\ l=\frac{24}{2} \\ l=12\text{ feet} \end{gathered}$

Therefore, the rug dimensions are:

• Length = 12 feet

,

• Width =(12-3) = 9 feet

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