Question

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?

Answer 1

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

From the given information find that `10w = 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 `4w`.

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

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

`10w = 80`

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

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