SOLUTION: the length of a rectangular garden is one more than thrice its width. If the area measures 80m2. what are the measures of its dimensions?

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Question 1179747: the length of a rectangular garden is one more than thrice its width. If the area measures 80m2. what are the measures of its dimensions?
Answer by MathLover1(20850) About Me  (Show Source):
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let the length of a rectangular garden be L and the width W
if the length is one more than thrice its width, we have
L=3W%2B1....eq.1
if the area measures 80m%5E2, we have
L%2AW=80 ...eq.2, substitute L
%283W%2B1%29%2AW=80
3W%5E2%2BW=80
3W%5E2%2BW-80=0...factor
3W%5E2-15W%2B16W-80=0
%283W%5E2-15W%29%2B%2816W-80%29=0
3W%28W-5%29%2B16%28W-5%29=0
%28W+-+5%29%283W+%2B+16%29+=+0
take positive solution:
W=5
go to
L=3W%2B1....eq.1, substitute W
L=3%2A5%2B1
L=16

the measures of its dimensions: L=16m ,W=5m