Question

A rectangular room is three times as long as it is wide, and its perimeter is 72

meters. Find the length of the room.

Answer 1

`27` meters

Explanation:

Let
`x` = the width of the rectangular room.

From the information "is three times as long as it is wide", we can set the length of the room as
`3x`.

Perimeter of rectangle =
`2l + 2w` (formula for perimeter of rectangle)

`72=2(3x)+2(x)`

`72=6x+2x`

`8x=72` (combine like terms)

`x=9` meters

∴ The width of the room is 9 meters.

To find the length of the room, we can use substitution:

Length =
`3x`

`=3(9)`

`=27` meters

∴ The length of the rectangular room is 27 meters.

Hope this helps :)

Answer 2

L=3w

P=2L+2w

P=6w+2w

P=8w

72=8w

x=9

L=27