Question

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

A.

96 square units

B.

64 square units

C.

128 square units

D.

32 square units

Answer 1

C. 128

Explanation:

area of the base is y×h, 12×8, which equals 96.

area of both triangles is x×h, 4×8, which equals 32.

add those together to get 128.