Question 1031978
The area of a regular polygon can be expressed in terms of the apothem, a, and the perimeter, p, by
{{{A = (1/2)ap}}}
Let's plug in what we have:
{{{500 = (1/2)(10)p}}}
so that perimeter
p = 100 feet
Since the problem does not say how many sides the polygon must have, you can create a polygon of equal sides as long as the total is 100 feet and the sides are equal and can support an apothem of 10 feet...
How about a decagon, 10 feet on every side?