Find the area of the parallelogram that has coordinates of A(-2,2), B(-4,-2), C(2,-2), and D(4,2).

Question

Find the base and height first.

Answer 1

(CD)^2 = (2-4)^2 + (-2-2)^2,
(CD)^2 = 4 + 16 = 20,
CD = 4.47.

tanD = (-2-2) / (2-4) = -4 / -2 = 2,
D = 63.43 deg.

h = CD*sin63.43 = 4.

b = AD = 4-(-2) = 6.

Area = hb = 4 * 6 - 24.