Question

Pappy's Pond is located close to an elementary school. The city plans to fence it in to keep small children from accessing the water. What is the perimeter of a triangular-shaped fence the city can place around the pond using integer coordinates (no decimals) on the grid? You must show all work to receive credit. (8 points)

Answer 1

You could choose the following points:

A(1, 0), B(11, 0) and C(1, 10)

Then length AB is 11-1 = 10; length AC is 10-0 = 10, and length AC is found from the Pythagorean theorem to be ...

... √(10²+10²) = √200 = 10√2

The perimeter fence will have length 10 + 10 + 10√2 ≈ 34.14 units