SOLUTION: A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture must contain 405,000 square meters. No fencing is requi

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Question 426055: A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture must contain 405,000 square meters. No fencing is required along the river. What dimensions will use the least amount of fencing? (Enter your answers from smallest to largest.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A dairy farmer plans to enclose a rectangular pasture adjacent to a river.
To provide enough grass for the herd, the pasture must contain 405,000 square meters.
No fencing is required along the river.
What dimensions will use the least amount of fencing?
:
Let L = the dimension parallel to the river
Let W = width
:
L*W = 405000 sq/m
L = 405000%2FW
:
Write a perimeter equation which represents the amt of fencing
P = L + 2W
Replace L
P = 405000%2FW + 2W
Graphically
+graph%28+300%2C+200%2C+-100%2C+1000%2C+-1000%2C+5000%2C+%28405000%2Fx%29%2B2x%29+
Y axis represent the amt of fencing, x = width
Width for minimum fencing: 450 meters
then
L = 405000%2F450 = 900 m is the length