Math
posted by Vic .
Jennifer plans to fence a rectangular area around her rectangular swimming pool. The total area enclosed by the fence, including the pool, should be 5 times the area of the pool alone. The pool is 20 feet by 17 feet.
A.)What is the total area enclosed by the fence?
B.) fencing costs $8 per linear foot. Jennifer plans to build the fence so that the length of the fence will be 25 feet on the 20 foot side of the pool. What is the cost of the fencing with this plan?
C.) Jennifer decides that the cost of her original plan is to expensive. She wants to find the dimensions of the fence with the least cost. What is a formula, C(w), for the cost of the fence if the length of the fence is w feet on the 20 foot side of the pool?

Please Some help me with this problem!!!!!!!!!!!!!!!!!!!!!

just start by translating the facts into symbols.
(A)
the pool is 20 by 17, so its area is 340.
The total area will be 5 times that, or 1700.
(B)
the fence is 25 feet long, so its width is 1700/25 = 68 ft. The perimeter is thus 2(25+68) = 186 ft. At $8/ft that will cost $1488.
(C)
from (B) we know the cost is 8*2(w+1700/w).
C(w) = 16w + 27200/w
Don't know why it keeps mentioning the side along the length of the pool. All we care about is the fence, not its relationship to the pool. 
what is ti i have know idea please tell me the answer.
Respond to this Question
Similar Questions

MATH  area question
I need help on where to begin with this problem. You are installing a new deck around your pool. The pool is rectangular with the dimensions 8m by 4m. The deck will surround the pool and will have a width by 2m. What is the area of … 
Math
Jennifer plans to fence a rectangular area around her rectangular swimming pool. The total area enclosed by the fence, including the pool, should be 5 times the area of the pool alone. The pool is 20 feet by 17 feet. What is the total … 
Algaebra
A rectangular swimming pool is 5 feet longer than it is wide. If a concrete walk 2 feet wide is placed around the pool, the area covered by the pool and the walk is 156 square feet greater than the area covered by the pool alone. What … 
Geometry
a rectangular swimming pool has an area of double 1500ft. The rectangular pool is 50ft. The rectangular walkway that surrounds the pool is 4ft. How many feet of fencing do you need to surround the walkway? 
Math
Sally wants to build a fence around her pool. The pool is 26 feet long by 21 feet wide. The fence is to be 15 feet from the edge of the pool. What are the outside dimensions of the area surrounding the pool? 
Math
Ali has a rectangular pool around which he wants to construct a fence. The pool is 10 m long and 6 m wide, and he wants the fence to be 2 m from the edge of the pool on all sides. How many metres of fencing will he need 
Math
Ali has a rectangular pool around which he wants to construct a fence. The pool is 10 m long and 6 m wide, and he wants the fence to be 2 m from the edge of the pool on all sides. He want to pave the area around the pool and within … 
Math
Sally wants to build a fence around her pool. The pool is 26 feet long by 21 feet wide.The fence is to be 15 feet from the edge of the pool. a.What are the outside dimensions of the area surrounding the pool? 
Math
Sally wants to build a fence around her pool. The pool is 26 feet long by 21 feet wide.The fence is to be 15 feet from the edge of the pool. a.What are the outside dimensions of the area surrounding the pool? 
Math
A rectangular swimming pool is 6 meters longer than the width of the pool. A pool deck (sidewalk) that surrounds the pool is 4 meters wide (all the way around the pool). The combined area of the pool deck and pool together (outer rectangle) …