SOLUTION: A rectangular room is seven times as long as it is wide. The perimeter of the room is 64 feet. Find the dimensions of the room.

Algebra ->  Rectangles -> SOLUTION: A rectangular room is seven times as long as it is wide. The perimeter of the room is 64 feet. Find the dimensions of the room.      Log On


   



Question 797110: A rectangular room is seven times as long as it is wide. The perimeter of the room is 64 feet. Find the dimensions of the room.
Answer by mohanraj04(12) About Me  (Show Source):
You can put this solution on YOUR website!
given that
the length of the room is seven times long as its wide
L=7W----------equ:1
where
L be the length
W be the wide
and the perimeter of the room is 64ft.
2[L+W]=64-----equ:2
by substituting equ:1 in equ:2
2[7W+W]=64
7W+W=64/2
8W=32
W=32/8
W=4
by substituting W=4 in equ:1 we get
L=7*4
L=28
therefore the dimensions of the room are 28ft. and 4ft.