Posted by **Daphne ** on Saturday, November 27, 2010 at 2:07am.

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?

- math -
**Reiny**, Saturday, November 27, 2010 at 7:45am
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 4-sided 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

## Answer This Question

## Related Questions

- math - i need to enclose a 250 square ft section with a fence that cost $1.50 ...
- calculus - a farmer wishes to fence off a rectangular plot of land, using an ...
- math - jhon needs to bulid a fence around his yard , which is 96 ft. wide and ...
- College Algebra - a hardware store owner chooses to enclose an 800 square foot ...
- Calculus - ABC Daycare wants to build a fence to enclose a rectangular ...
- math - a gardner wishes to encloe a rectangular 3000 square feet area with ...
- Calc - A farmer wishes to enclose a rectangular pen with area 100 square feet ...
- Calc - A farmer wishes to enclose a rectangular pen with area 100 square feet ...
- calc - A farmer wishes to enclose a rectangular pen with area 100 square feet ...
- help with math please - a gardner wishes to encloe a rectangular 3000 square ...

More Related Questions