Question

Find the perimeter of the polygon with the given vertices. G(-4,-1) H(1,4) J(4,1) K(-1,-4)

Answer 1

9514 1404 393

Answer:

16√2 ≈ 22.63

Explanation:

A graph is informative. It shows us the sides of the polygon have slopes of ±1, so the perimeter can be figured in units of the diagonal of a unit square. (The length of that diagonal is √2.) The short sides are 3 such units long, and the long sides are 5 such units. Then the total perimeter is ...

P = 2(3 +5)√2

P = 16√2 ≈ 22.63