Question

What is the area of the parallelogram plotted in the Coordinate Plan in square units? (Only include value! Don't include the word phrase "Squared Units.)

Answer 1

Explanation:

D (-2,4) C(-2,-4)

`DC=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}\\\\ =\sqrt{(-2-[-2])^(2)+(-4-4)^(2)}\\\\=\sqrt{(-2+2)^(2)+(-8)^(2)}\\\\ =√(0+64)\\\\ =√(64)\\\\=8`

Base = 8

Height (h)= 3

Area of parallelogram = b*h = 8*3 = 24