Precalculus
posted by Cole .
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
Respond to this Question
Similar Questions

Precalculus
I usually know how to do these types of problems, but the second variable just threw me off balance.. 47. A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce a maximum enclosed … 
math
A rancher has 296 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area? 
algebra
a rancher has 310 feet of fencing with which to enclose two rectangular corrals, both of the same size. the two corrals will share one side, and a barn forms one side of both corrals. suppose the width of each corral is X feet. express … 
Precalculus
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 … 
Precalculus
There are 4 rectangular corrals of identical dimensions along the back wall of an existing barn using 200 ft of fencing. The diagram has 4 rectangular corrals attached together but fencing is not needed on the back wall of the barn. … 
Precalculus
I have a diagram that has 4 rectangular corrals joined together and a barn above it. Fencing is not needed along the back wall of the barn. The perimeter is 200 ft and the question asks... If each corral is 16 ft. long (front to back) … 
Precalculus
A barn has 150 feet of fencing and there are 3 rectangular corrals of identical dimensions along the back wall of the barn. The sides of each corral are attached to the barn and fencing is not needed along the back wall of the barn. … 
Precalculus
A barn has 150 feet of fencing and there are 3 rectangular corrals of identical dimensions along the back wall of the barn. The sides of each corral are attached to the barn and fencing is not needed along the back wall of the barn. … 
Math Please Help Us!
Diagram has 4 rectangular corrals with a barn above it. Sides (front to back) are attached to the barn. Fencing is not needed along the back of the barn. P= 200 ft of fencing If each corral is 16 ft long (front to back), how wide will … 
Calculus and Vectors
Afarmer requires two rectangular corrals with a combined area of 200m^2. The cost of the fencing facing the road is $25/m while the sides cost $20/m. The back side of the corrals will be against the side of the barn, which is 40m long. …