math
posted by Daphne .
I need to enclose a section that is 250 square ft with a fence that cost $1.50 per yard, what dimension would i use to minimize the cost?

You don't specify what shape your enclosure is to have.
The shape which has the most area for the least perimeter of course is the circle.
so πr^2 = 250
r = 8.9206
and the circumference
= 2πr = 2π(8.9206)
= 56.05 ft
= 18.68 ft
So you will have to buy 19 yards for a cost of $28.50
If you want a 4sided shape, it will be a square
side^2 = 250
side = 15.811
perimeter = 4s = 63.25 feet
= 21.08 yards.
in this case you will need 22 yards, since 21 yds are not enough
for a cost of $33
Respond to this Question
Similar Questions

math
a gardner wishes to encloe a rectangular 3000 square feet area with bushes on three sides and a fence on the 4th side .If the bushes cost $25.00per foot and the fence costs $10.00 per foot, find the dimensions that minimize the total … 
help with math please
a gardner wishes to encloe a rectangular 3000 square feet area with bushes on three sides and a fence on the 4th side .If the bushes cost $25.00per foot and the fence costs $10.00 per foot, find the dimensions that minimize the total … 
math
i need to enclose a 250 square ft section with a fence that cost $1.50 per yard what dimensions would I use to minimize the cost? 
math
jhon needs to bulid a fence around his yard , which is 96 ft. wide and 120 ft. deep. A.how much fence mst he buy to enclose all four sides? 
College Algebra
a hardware store owner chooses to enclose an 800 square foot rectangular area in front of her store so that one of the sides of the store will be used as one of the four sides of the fence. if the two sides that come out from the store … 
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 … 
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 … 
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 $16 per foot can be used for the other three sides. What … 
calculus
a farmer wishes to fence off a rectangular plot of land, using an existing wall as one of the sides . the total are enclosed must be 600 square yards. the fence on the side parallel to the wall will cost 20$ per yard, while the fences … 
Calculus
ABC Daycare wants to build a fence to enclose a rectangular playground. The area of the playground is 900 square feet. The fence along three of the sides costs $5 per foot and the fence along the fourth side, which will be made of …