Question

Suppose a parallelogram is drawn on a coordinate plane. Using vertices with the coordinates (2,1), (2,3), (4,4), and (4,2), compute the perimeter. Round your answer to the nearest tenth.(1 point)
Responses

8.5 units
8.5 units

9.7 units
9.7 units

9.4 units
9.4 units

6.8 units

Answer 1

Label the points A(2,1), B(2,3), C(4,4), D(4,2).
AB = distance between (2,1) and (2,3) = 2.
BC = distance between (2,3) and (4,4) = sqrt((4-2)^2 + (4-3)^2) = sqrt(5).
Perimeter = 2(AB + BC) = 2(2 + sqrt5) ≈ 8.4721 ≈ 8.5 units.