Question

The perimeter of a rectangular carpet is 70 feet. The width is three- fourths the length. Find the width

Answer 1

From the given information, we can draw the following picture:

where the widht is three-fourths the length, denoted by x. So, the perimeter (P) is given as

$P=x+x+\frac{3}{4}x+\frac{3}{4}x$

which gives

$\begin{gathered} P=2x+\frac{6}{4}x \\ P=\frac{14}{4}x \end{gathered}$

Since the perimeter is 70 feet, we have

$\frac{14}{4}x=70$

so x is given as

$x=\frac{70\times4}{14}=20$

This means that the length measure 20 feet and the width measures:

$\text{ width=}\frac{3}{4}(20)=15\text{ ft}$

Therefore, the width measures 15 ft.