SOLUTION: An ecology center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m2. Find the dimensions of the garden.

Question 213466This question is from textbook
: An ecology center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m2. Find the dimensions of the garden. This question is from textbook

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
2x+2y=300 or 2x=300-2y or x=150-y
xy=5,000
(150-y)y=5,000
150y-y^2=5,000
y^2-150y+5,000=0
(y-100)(y-50)=0
y-100=0
y=100 & x=50 ans.
y-50=0
y=50 & x=100 ans.
Proofs:
2*50+2*100=300
100+200=300
50*100=5,000
5,000=5,000
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