A rectangular room is 4 times as long as it is wide, and its perimeter is 80 meters. Find the dimens

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A rectangular room is 4 times as long as it is wide, and its perimeter is 80 meters. Find the dimension of the room

The perimeter of a rectangle is P = 2l + 2w. We're given two equations:

1. l = 4w
2. 2l + 2w = 80. <-- Since perimeter is 80

Plug equation (1) into equation (2) for l:
2(4w) + 2w = 80
8w + 2w = 80

Plugging this equation into our search engine, we get:
w = 10

To get l, we plug w = 10 into equation (1):
l = 4(10)
l = 40