SOLUTION: A farmer wants to use 170 meters of fence to enclose an area of 1750 square meters. Find the dimensions of the enclosure

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
.
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
.
Ed

Answer by Mathtut(3670) (Show Source): 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
:
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
:
1750=L*W....eq 1 revised
170=2L+2W...eq 2 revised
:
rewrite eq 1 to W=1750/L and plug into eq 2
:
170=2L+2(1750/L)
:
3500/L=170-2L
:

:
divided all terms by 2
:

:
W=1750/L=1750/50 or 1750/85
:
If L which is the length is 50 then the width is 85
if L is 85 then the width is 50
:
dimensions are 50 X 85
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