Question

A rectangular room is 2 meters longer than it is wide, and its perimeter is 24 meters. Find the dimension of

the room.

Answer 1

5 m wide and 7 m long

Explanation:

Let the width of the room =
`x`

Therefore, length of the room =
`x` + 2 (as it's 2 m longer than the width)

So total perimeter = 2 x width + 2 x length:

`2x+2(x+2)=24`

Now rearrange and solve for
`x`:

`2x+2x+4=24\\4x=20\\x=5`

So width =
`x=5`

and length =
`x+2=5+2=7`

Therefore, the dimension of the room is 5 m wide and 7 m long.