Question

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

Answer 1

Answer:

$27$ meters

Step-by-step 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

Answer:

L=3w

P=2L+2w

P=6w+2w

P=8w

72=8w

x=9

L=27