Precalculus
posted by Cole on .
Combined area of 1680ft^2 for 4 identical rectangular corrals.
Corrals are joined together and no fencing at the back wall of the barn.
200=5d+4w
1680=4dw
What length will produce the maximum area?
d=12
The dimensions of each corral (lxw) is 12'x35'
What will be the resulting maximum combined area of 4 corrals? The combined area would also mean maximum area, correct?
A=dw
A=(4)(12)(35)=1680ft^2

for maximum area, consider
a = 4dw = 4w(2004w)/5
maximum a at w = 25 (midway between the roots of 0,50)
4dw = 75*25 = 1875 is the maximum area