If x = 4 units, y = 12 units, and h = 8 units, find the area of the parallelogram shown above using decomposition.

Answer 1

x=4, y=12, h=8 for a parallelogram

without a diagram to indicate what x,y and h are here's a guess

h=height of the parallelogram

x+y = 8+4 = the base

decompose the parallelogram into 2 triangles

and one rectangle, 12x8 =96

each triangle has area = 4x12/2 =24

24+24+96 = 144 = the area of the parallelogram