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.
The perimeter for this
2L + 5W = 750
2L = (750-5W)
L = {{{(750-5W)/2}}}
The Area equation
A = L * W
Replace L
A = {{{(750-5W)/2}}}*W
A = {{{(-5W^2+750W)/2}}}
{{{f(W) = -2.5W^2 + 375W}}}
:
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 = {{{(-375)/(2-2.5)}}}
W = 75 ft for max area
:
Find the area
{{{f(W) = -2.5(75^2) + 375(75)}}}
{{{f(W) = -14062.5 + 28125}}}
:
A = +14,062.5 sq/ft max area