SOLUTION: The width of a rectangle is 2/3 of its length. Find its length if the perimeter is 80 cm. Find the dimensions.

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Question 152448: The width of a rectangle is 2/3 of its length. Find its length if the perimeter is 80 cm. Find the dimensions.

Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
P=2%28L%2BW%29 --------------------> eqn 1
But, W=%282%2F3%29L, so
P=2%28L%2B%282%2F3%29L%29
80cm=2%28%283L%2B2L%29%2F3%29%29, adding & cross multiply
%2880%2A3%29%2F2=5L
120=5L ---------> cross%28120%2924%2Fcross%285%29=cross%285%29L%2Fcross%285%29
L=24cm
And, W=%282%2F3%2924=16cm
In doubt? Go back eqn 1:
80cm=2%2824cm%2B16cm%29
80cm=2%2840cm%29
80cm=80cm
Thank you,
Jojo