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+(3)/(4)x+(3)/(4)x`

which gives

`\begin{gathered} P=2x+(6)/(4)x \\ P=(14)/(4)x \end{gathered}`

Since the perimeter is 70 feet, we have

`(14)/(4)x=70`

so x is given as

`x=(70*4)/(14)=20`

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

`\text{ width=}(3)/(4)(20)=15\text{ ft}`

Therefore, the width measures 15 ft.