Question

Suppose a parallelogram is drawn on a coordinate plane. Using vertices with the coordinates (0,0)
, (1,5)
, (5,2)
, and (4,−2)
, compute the perimeter. Round your answer to the nearest tenth.(1 point)
Responses

16 units
16 units

18 units
18 units

20.5 units
20.5 units

18.2 units

Answer 1

Take two adjacent side lengths: between (1,5) and (5,2) is sqrt(4^2+(-3)^2)=5, and between (5,2) and (4,-2) is sqrt((-1)^2+(-4)^2)=sqrt17 ≈ 4.1231.
Perimeter = 2(5 + sqrt17) ≈ 2(9.1231) = 18.2462 ≈ 18.2 units.