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

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