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

Question 467901: An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000 m2(squared). Find the dimensions of the garden.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the width of the garden = m
Let the length of the garden = m
given:
(1) m2
(2) m
---------------------
(2)
and
(1)
so, by substitution:
(2)
(2)
(2)
Use quadratic formula:

and

and
(2)
(2)
The dimensions are 50 x 100 m2
check:
(1) m2
(1)
(1)
OK
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