Posted by **Anonymous** on Saturday, April 6, 2013 at 3:44pm.

Suppose a farmer has 1,000 feet of fence and wishes to build two identical rectangular enclosures. What should be the dimensions of each enclosure if the total area is to be a maximum?

Set problem up and solve using derivatives.

- appliedcalculus -
**Steve**, Saturday, April 6, 2013 at 4:03pm
if the sides are x,y

a = 2xy

now, 4x+4y=1000, so y=250-x and so

a = 2x(250-x) = 500x - 2x^2

da/dx = 500-4x

da/dx=0 when x=125

so, the enclosures are both squares, 125x125

## Answer this Question

## Related Questions

- optimization - A farmer wants to make 9 identical rectangular enclosures as ...
- clemson - A farmer wants to make three identical rectangular enclosures along a ...
- math - a farmer has 120 m of fencing to make two identical rectangular ...
- Calculus 12 Optimization - A farmer wishes to make two rectangular enclosures ...
- Math - Please help with this problem! Brandon wishes to fence in a rectangular ...
- Math - 1. A gardener has 140 feet of fencing to fence in a rectangular vegetable...
- alegbra - A farmer wishes to fence in 3 different breeds of animals in a ...
- Calculus 2 - A farmer wishes to build a fence for 6 adjacent rectangular pens. ...
- algebra - Mike's family wants to build a rectangular fenced backyard area for ...
- Algebra - Word Problems: 1. A farmer has 2400 feet of fencing and wants to fence...