Posted by Cole on Friday, October 5, 2012 at 8:00am.
The owner of a horse stable wishes to set up 4 rectangular corrals of identical dimensions along the back wall of an existing barn using 200 ft of fencing. The sides of each corral will be attached to the barn, fencing is not needed along the back wall. Find the function that expresses the combined area of 4 corrals each if each corral is x feet long.

Precalculus  Reiny, Friday, October 5, 2012 at 8:28am
Did you make a sketch ?
Even though you didn't say, I will assume that the corrals are joined with common lengths.
let the width of the entire corral (parallel to the barn) be y ft
let each width of corrals be x ft
So we have y + 5x = 200
y = 200  5x
Area = xy = x(2005x) or 200x  5x^2
The equation will vary depending on your definition of the variables. Mine avoids unnecessary fractions .
BTW, after you maximize the area function, the dimensions of each corral will be 20 by 25, for a maximum area of 2000 for the combined area
Answer This Question
Related Questions
 Precalculus  A barn has 150 feet of fencing and there are 3 rectangular corrals...
 Precalculus  There are 4 rectangular corrals of identical dimensions along the ...
 Precalculus  A barn has 150 feet of fencing and there are 3 rectangular corrals...
 Precalculus  I have a diagram that has 4 rectangular corrals joined together ...
 Math Please Help Us!  Diagram has 4 rectangular corrals with a barn above it. ...
 Precalculus  Combined area of 1680ft^2 for 4 identical rectangular corrals. ...
 pre calculus  A farmer will be adding a rectangular corral to his barn. He has ...
 COLLEGE ALGREBRA  A horse breeder wants to construct a corral next to a horse ...
 algebra  a rancher has 310 feet of fencing with which to enclose two ...
 Precalculus  I usually know how to do these types of problems, but the second ...
More Related Questions