SOLUTION: An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the garden

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the garden      Log On


   



Question 67503This question is from textbook
: An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the garden This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the garden.
-----------------------
Perimeter = 2l+2w=300
l+w=150
l=150-w
--------
Area = lw=5000
(150-w)*w = 5000
150w-w^2 = 5000
w^2-150w+5000=0
(w-100)(w-50)=0
w=100 or w=50
-----------
If width = 100, length = 50
If width = 50, length = 100
-----------
Cheers,
Stan H.