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

18 units
18 units

20.5 units
20.5 units

16 units
16 units

18.2 units

Answer 1

Compute the side lengths and add them:

AB = distance between (0,0) and (1,5) = sqrt(1^2+5^2)=√26 ≈ 5.099
BC = distance between (1,5) and (5,2) = √(4^2+(-3)^2)=5
CD = distance between (5,2) and (4,-2) = √(1^2+(-4)^2)=√17 ≈ 4.123
DA = distance between (4,-2) and (0,0) = √(4^2+(-2)^2)=√20 ≈ 4.472

Perimeter = √26 + 5 + √17 + √20 ≈ 18.694 ≈ 18.7 units (to the nearest tenth).