SOLUTION: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
a.) Find a function th
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a.) Find a function th
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Question 441176: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
a.) Find a function that models the total area of the four pens.
b.) Find the largest possible total area of four pens. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A rancher with 750 ft of fencing wants to enclose a rectangular area and then
divide it into four pens with fencing parallel to one side of the rectangle.
;
a.) Find a function that models the total area of the four pens.
The perimeter for this
2L + 5W = 750
2L = (750-5W)
L =
The Area equation
A = L * W
Replace L
A = *W
A =
:
b.) Find the largest possible total area of four pens.
Max area will occur at axis of symmetry, formula for that x = -b/(2a)
W =
W = 75 ft for max area
:
Find the area
:
A = +14,062.5 sq/ft max area
