SOLUTION: You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygo

Algebra ->  Surface-area -> SOLUTION: You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygo      Log On


   



Question 1031978: You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygon. Within this grazing area, the length of the apothem must be 10 feet long.


Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a regular polygon can be expressed in terms of the apothem, a, and the perimeter, p, by
A+=+%281%2F2%29ap
Let's plug in what we have:
500+=+%281%2F2%29%2810%29p
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?