# Math

A rectangular garden is to be fenced off and divided into 3 equal regions by fencing parallel to one side of the garden. 200 feet of fencing is used. find the dimensions of the garden that maximizes the total area enclosed. what is the maximum area?

1. 👍 0
2. 👎 0
3. 👁 480
1. area= LxW
fencing:200=2L+2W+2L
200=4L+2W check that.

area= LW=L(100-50L)
darea/dL=(100-50L)+ L(-50)=0
-100L=-100
L=1
W=100-2L=100-2=98

1. 👍 0
2. 👎 1

## Similar Questions

1. ### math

A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden where one of the sides of the garden is against the side of a barn. Let L represent the varying length of the rectangular garden

asked by melissa on September 2, 2018
2. ### math

A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Five hundred and forty feet of fencing is used. Find the dimensions of the playground that maximize the total

asked by rachel on December 10, 2017
3. ### college algebra

a rectangular lot whose perimeter is 440 feet is fenced along three sides. an expensive fencing along the lot's length cost \$16 per foot, and an inexpensive fencing along the two side widths costs only \$11 per foot. The total cost

asked by corea on June 18, 2013
4. ### Math

A 40-foot by 10-foot rectangular garden is enclosed by a fence. To make the garden larger, while using the same amount of fencing, its shape is changed to a square. How many square feet larger than the old garden is the new

asked by Jenna on March 26, 2015
5. ### Algebra

a farmer wants to build a rectangular garden with a river as one side.what is the area of the biggest garden that he can fence with 220 meters of fencing materials?

asked by Queen on July 7, 2016
1. ### math

A rectangular school yard 280 m by 245 m is to be fenced. How many metres of fencing will be required to fence it completely?

asked by Jason on July 5, 2012
2. ### math

a person has a rectangular garden one length of the garden lies along the patio wall. however the rest of the garden is enclosed by 30 ft of fencing. if the length of the garden is three times its width, what is the area of the

asked by Jaimi on February 17, 2016
3. ### Grade 12 Calculus and Vectors

A homeowner wants to enclose a rectangular garden with fencing The garden will be adjacent to his neighbours lot. There will be fencing on all four sides. His neighbour will be paying for half of the shared fence. What should the

asked by Scott on May 17, 2016
4. ### math

if a gardener fences in the total rectangular area shown in the illustration instead of just the square area,he will need twice as much fencing to enclose the garden.how much fencing will he need ?

asked by jessi on September 26, 2013
5. ### math

A rectangular plot is bounded at the back by a river. No fencing is needed along the river and there is to be an opening in front of about 24 meters. If the cost of fencing in front is \$1500 per meter and the cost of fencing the

asked by natasha on April 25, 2013
6. ### math

A gardener has 720 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.What dimensions would guarantee that the garden has the greatest possible area?

asked by angel on September 27, 2019