grade (5) math
posted by ary .
Design a rectangular dog pen that has the greatest possible area and keep within a budget of $50. Your pen needs at least one gate for your dog. Fencing is $1.00 per foot, fence posts are $2.00 each, and gates(3 feet wide) are $5.00 each. What is the area of a pen?
pls help me!!!

grade (5) math 
Steve
If the pen has dimensions x and y, with n gates, and assuming there are posts only at the corners and on both sides of the gate(s) and that the gate(s) do not share a corner post, then using up the whole budget,
(2x+2y3n)+2(4+2n)+5n = 50
x+y+3n = 25
and, since the gates are 3' wide,
x > 3
y > 3
More gates mean less budget for fence, so go with one gate
That gives x+y=22 and since the maximum area for a given perimeter is a square, the dog pen will be
11 by 11, with one gate.
Cost for 39 feet of fence, one gate, and 6 posts is 39+5+12=50 
grade (5) math 
ary
thsnku so much steve!!

grade (5) math 
Art
Pls still I don't understand how u got 25 could u pls tell me than tell me what is the area of the rectangle dog pen?
Pls help me 
grade (5) math 
Marko
Above 39+5+12=56.
Correct size is 9x9.
9+9+9+6=33ft fence= $33
6 posts = $12
1 gate = $ 5

$50
Respond to this Question
Similar Questions

College Algebra Word Problem
A rectangular dog pen is to be made to enclose an area of 625 sq. ft. The pen is to be divided into 2 equal sections by a section of the fence. Find the dimensions of the pen that will require the least amount of fencing material. … 
Math
Andy plans to build a rectangular dog pen in his backyard. A portion of the back wall of his house will serve as one side of the dog pen. If the perimeter of the dog pen must be 40 feet, which of the following widths will result in … 
Math
Brenda is building a rectangular pen for her dog. She has enough fencing to build the pen so that it has a perimeter of 36 feet. She wants the pen to have an area of 65 ft2. What are the dimensions of the dog pen? 
math
A rectangular dog pen that has the greatest possible area within a budget of 50$.A pen needs at least one gate for a dog. Fencing is $1.00 per foot, fence posts are $2.00 each and gates (3 feet wide) are $5.00 each. what is the area … 
math
A friend is building a dog pen with an area of 150 square feet. Each side must be at least 5 feet long. a. List all possible dimensions of the dog pen. b. What is the maximum amount of fence required to build the dog pen? 
Math
You are designing a rectangular dog pen off the back of your house. The House will form one side of the dog pen. The pen is to have an area of 800 ft.² but you want to minimize the amount of fencing that you need for the three sides … 
sheridan
Jim is setting up a rectangular dog run in his backyard. He buys six 3foot sections of fencing and a 3foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? 
MATHS
Jim is setting up a rectangular dog run in his backyard. He buys six 3foot sections of fencing and a 3foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? 
MATHS
Jim is setting up a rectangular dog run in his backyard. He buys six 3foot sections of fencing and a 3foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? 
math
Jim is setting up a rectangular dog run in his backyard. He buys six 3foot sections of fencing and a 3foot wide gate. What are the dimensions of the dog run with the greatest area in each situation?