Answer:
[tex]27[/tex] meters
Step-by-step explanation:
Let [tex]x[/tex] = 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 [tex]3x[/tex].
Perimeter of rectangle = [tex]2l + 2w[/tex] (formula for perimeter of rectangle)
[tex]72=2(3x)+2(x)[/tex]
[tex]72=6x+2x[/tex]
[tex]8x=72[/tex] (combine like terms)
[tex]x=9[/tex] meters
∴ The width of the room is 9 meters.
To find the length of the room, we can use substitution:
Length = [tex]3x[/tex]
[tex]=3(9)[/tex]
[tex]=27[/tex] meters
∴ The length of the rectangular room is 27 meters.
Hope this helps :)
