Find the perimeter of the polygon with the given vertices. G(-4,-1) H(1,4) J(4,1) K(-1,-4)
1 answer:
9514 1404 393
Answer:
16√2 ≈ 22.63
Step-by-step 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
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