Pre-Calculas 11

posted by .

a farmer wants to build two pens (one for cows, the other for horses) on land by a straight road. There is already a fence along the road and the farmer has 800m of fencing to build his fence to enclose the pens and separate them as shown in the diagram below. what is the maximum area of the lot?

  • Pre-Calc - incomplete -

    no diagram. more text, please.

  • Pre-Calculas 11 -

    I cannot see the diagram, so I am going to assume the new fencing is formed into an 'E' shape, with the opening pressed up against the existing fence line. That is: one long side (l), two short sides and the divider (3w).

    The fence length is:
    800 = 3w + l

    So the area is :
    A = l w
    A = 800 w - 3 w2

    The maximum area will be the value of the vertex of this parabola. Find w of this point.

  • Pre-Calculas 11 -

    There is no diagram given its just what the question says. There is no other info

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc

    A farmer wishes to enclose a rectangular pen with area 100 square feet next to a road. The fence along the road is to be reinforced and costs $34 per foot. Fencing that coast $16 per foot can be used for the other three sides. What …
  2. Calc

    A farmer wishes to enclose a rectangular pen with area 100 square feet next to a road. The fence along the road is to be reinforced and costs $34 per foot. Fencing that coast $16 per foot can be used for the other three sides. What …
  3. Calc

    A farmer wishes to enclose a rectangular pen with area 100 square feet next to a road. The fence along the road is to be reinforced and costs $34 per foot. Fencing that coast $16 per foot can be used for the other three sides. What …
  4. 11th grade math

    A farmer wants to fence in 60 000m^2 of land in a rectangular field along a straight road. The fencing that he plans to use along the road is $10 per meter and the fencing that he plans to use for the other three sides costs $5 per …
  5. area and perimet

    Farmer Brown has 700 yards of fencing with which to build a rectangular corral divided into two pens. He builds a corral that uses the river as one side so he only has to fence the other 3 sides and the divider down the middle
  6. College Cal 1

    A farmer wants to fence off a rectangular field of area 15000 square feet using barbed wire fencing. SInce the opposite of the road is a corn-field, he wants a two-strand fence along the road, and one strand on each of the other three …
  7. Algebra

    Word Problems: 1. A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. If he needs no fence along the river, what are the dimensions of the field that he can fence with the largest …
  8. Math

    A farmer has 54m of fencing with which to build two animal pens with a common side. one pen is rectangular; the other is square. if the area of the pens is to be maximized, what are their dimensions?
  9. Pre-Calc

    How do you do this? A farmer has 336 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.
  10. Math

    A farmer needs to build a fence to enclose a square plot of land with an area of 200 square yards. To the nearest tenth of a yard, how much fencing does the farmer need?

More Similar Questions