Question 192829: A farmer wants to use 170 meters of fence to enclose an area of 1750 square meters. Find the dimensions of the enclosure Found 2 solutions by edjones, Mathtut:Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! L*w=1750
2L+2w=170
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L=1750/w
2(1750/w)+2w=170
3500/w+2w=170
3500+2w^2=170w
1750+w^2=85w
w^2-85w+1750=0
(w-50)(w-35)=0
w=35, L=50
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Ed
You can put this solution on YOUR website! A=L*W..........eq 1
P=2L+2W........eq 2
P=170..........eq 3
A=1750.........eq 4
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take P's value from eq 3 and plug into eq 2 and A's value from eq 4 and plug them into eq 2
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1750=L*W....eq 1 revised
170=2L+2W...eq 2 revised
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rewrite eq 1 to W=1750/L and plug into eq 2
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170=2L+2(1750/L)
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3500/L=170-2L
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: divided all terms by 2
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W=1750/L=1750/50 or 1750/85
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If L which is the length is 50 then the width is 85
if L is 85 then the width is 50
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dimensions are 50 X 85
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