SOLUTION: the width of a rectangle is one-fifth as much as the length. the perimeter is 120cm . Find the length and width

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Question 1030756: the width of a rectangle is one-fifth as much as the length. the perimeter is 120cm . Find the length and width
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
W = 1/5L
Perimeter:
2W+2L = 120 Substitute for W:
2(1/5L)+2L = 120
2/5L+2L = 120 multiply both sides times 5
2L+10L = 600
12L = 600
L = 50
And:
W = 1%2F5%2A50+=+50%2F5+=+10
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Check:
Perimeter:
2W+2L = 2(50)+2(10) = 120 Correct