Question

A rancher has 1200 ft of fencing to construct 4 corrals. Find dimensions of the plot that will maximize the area.
PLEASE HELP FINAL EXAM TOMORROW WILL MEDAL AND FAN

Answer 1

Please help!

Answer 2

Area = width*length
A(x) = x(1200-2x)
A(x) = 1200x - 2x^2

You have a quadratic with a= -2 and b = 1200
Maximum Area occurs
where x = -b/2a = -1200/(2*-2) = 300 ft. (width)
length =1200-2x = 1200-2*300 = 600 ft. (length)

hope that helps

Answer 3

how did you get x(1200-2x)

Answer 4

Let each side perpendicular to the plot be "x".
Then the side parallel to the plot is "1200-2x".
so you multiply length * width for area

Answer 5

but how did you get the -2x sorry im confused