SOLUTION: A rectangular garden has a perimeter of 48 cm and an area of 140 sq. cm. What is the length of this garden?

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Question 295397: A rectangular garden has a perimeter of 48 cm and an area of 140 sq. cm. What is the length of this garden?
Answer by checkley77(12844) About Me  (Show Source):
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2L+2W=48
LW=140 OR L=140/W
2(140/W)+2W=48
280/W+2W=48
(280+2W*W)/W=48
(280+2W^2)/W=48
2W^2+280=48W
2W^2-48W+280=0
2(W^2-24W+140)=0
2(W-14)(W-10)=0
W-14=0
W=14 ANS L=140/14=10 ANS.
W-10=0
W=10 ANS. L=140/10=14 ANS.
PROOFS:
10*14=140
140=140
2*10+2*14=48
20+24=48
48=48