Question

If x = 12 units, y = 3 units, and h = 14 units, find the area of the parallelogram shown above using decomposition.

Answer 1

If by decomposition you mean breaking it into parts then

break it into 2 triangles and 1 rectangle

left to right

triangle with base y and height h

h=10

y=3

area of traignel=1/2bh

aera=1/2(10)(3)

area=5(3)

area=15

rectangel of legnth x and height h

area=legnth timwe width

x=8

h=10

area=8 times 10

aera=80

last triangle

should

add

15+80+15=120