SOLUTION: The perimeter of a rectangle is 52 cm. The length is 2 cm less than three times the width. Find the length and the width.

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Question 965605:

The perimeter of a rectangle is 52 cm. The length is 2 cm less than three times the width. Find the length and the width.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
P=2L+2W
L=3W-2
52=2(3W-2)+2W
52=6W-4+2W
52=8W-4
8W=52+4
8W=56
W=56/8
W=7 CM FOR THE WIDTH.
L=3*7-2
L=21-2
L=19 CM FOR THE LENGTH.
PROOF:
52=2*19+2*7
52=38+14
52=52