Question

A rectangular rug has a perimeter of 460 meters. The width of the rug is five meters more than 4 times the length. Find the

length and the width.

Answer 1

Length = 45 m

Width = 185 m

Explanation:

Given:

Perimeter of rectangular rug = 460 m

width of the rug is five meters more than 4 times the length

To find:

Width and length of rug = ?

Solution:

Let the length =
`l` m

As per given statement,

Width =
`4l+5` m

Formula for perimeter of a rectangle =
`2* (Length +Width)`

`460=2* (l+4l+5)\\\Rightarrow 230 = 5l+5\\\Rightarrow l = (225)/(5) = 45\ m`

Width =
`4l+5` m

Width =
`4* 45+5 = 185\ m`

So, the answer is:

Length = 45 m

Width = 185 m