# A rectangular room is 4 times as long as it is wide, and its perimeter is 80 meters. How do you find the dimension of the room?

Sep 3, 2015

Use a variable $w$ to represent the width of the room.

From the given information find that $10 w = 80$, hence $w = 8$.

So the room is $8$ meters by $32$ meters.

#### Explanation:

Let $w$ represent the width of the room in meters.

Then the length of the room is $4 w$.

So the perimeter of the room is $w + 4 w + w + 4 w = 10 w$.

Given that the perimeter is $80$ meters, that translates as:

$10 w = 80$

Divide both sides by $10$ to get $w = 8$.

Hence the width of the room is $8$ meters and the length is $4 w = 32$ meters.