SOLUTION: a rectangle's width is one third its length, and its perimeter is 80 meters. what is the dimensions of the rectangle?

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Question 696143: a rectangle's width is one third its length, and its perimeter is 80 meters. what is the dimensions of the rectangle?
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
Let +L+ = length of rectangle


"rectangle's width is one third its length"
width = +L%2F3+


"its perimeter is 80 meters" : perimeter = 2*(length + width)
+2%28L+%2B+L%2F3%29+=+80+
+L+%2B+L%2F3+=+40+
+3L%2F3+%2B+L%2F3+=+40+
+4L%2F3+=+40+
+4L+=+120+
+L+=+30+


"What is the dimensions of the rectangle?"
Length = +L+=+30+
Width = +L%2F3+=+30%2F3+=+10+

So, It is 30 x 10