SOLUTION: the perimeter of a rectangle is 72 centimeters. The base is 3 times the height. What are the dimensions of the rectangle?

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Question 343968: the perimeter of a rectangle is 72 centimeters. The base is 3 times the height. What are the dimensions of the rectangle?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
NEED TO KNOW:
PERIMETER IS THE TOTAL LENGTH OF ALL FOUR SIDES
LET "L" REPRESENT THE LENGTH OF THE BASE AND "H" BE THE HEIGHT OF THE RECTANGLE
ACCORDING TO THE QUESTION, THE FOLLOWING IS TRUE.
L=3%2AH
TOTAL LENGTH OF ALL FOUR SIDES IS 72cm
L%2BL%2BH%2BH=72cm
SUBSTITUTE FOR L
%283%2AH%29%2B%283%2AH%29%2BH%2BH=72cm
SOLVE:
SIMPLIFY:
8H=72cm
DIVIDE BOTH SIDES OF THE EQUATION BY 8
H=highlight%289cm%29
L=3%2A9cm
L=highlight%2827cm%29
check your answer!!
27cm%2B27cm%2B9cm%2B9cm=72cm