SOLUTION: A rectangle garden is to be fenced along three sides with 70 meters of fencing material. Find the dimensions of the garden if the area is to be 600m^2 (Show Your Solution)
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Question 389833: A rectangle garden is to be fenced along three sides with 70 meters of fencing material. Find the dimensions of the garden if the area is to be 600m^2 (Show Your Solution) Answer by mananth(16946) (Show Source):
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Only three sides fencing.
l+2w=70
2w=70-l
w=(70-l)/2
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Area = l*w
Area = l*(70-l)/2
600=(70l-l^2)/2
1200 = 70l -l^2
l^2-70l+1200=0
l^2-40l-30l+1200=0
l(l-40)-30(l-40)=0
(l-30)(l-40)
l= 30 OR 40
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l=30 w= 20
l=40 w=15
The dimensions can be 30 by 20 OR 40 by 15 meters
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m.ananth@hotmail.ca
