Mathematics: 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.

-68.8Step-by-step explanation:...

A rectangular rug has a perimeter of 460 meters.

princessdriayp6a2o8

30.01.2022

Length = 45 m

Width = 185 m

Step-by-step 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 = m

As per given statement,

Width = 4l+5 m

Formula for perimeter of a rectangle = $2\times (Length +Width)$

$460=2\times (l+4l+5)\\\Rightarrow 230 = 5l+5\\\Rightarrow l = \dfrac{225}{5} = 45\ m$

Width = 4l+5 m

Width = $4\times 45+5 = 185\ m$

So, the answer is:

Length = 45 m

Width = 185 m

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