Question

Part A: What is the area of the parallelogram? Show your work. (5 points)

Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

Answer 1

Part A

area = base*height

area = 8*(3/4)

area = 24/4

area = 6 square feet

Answer: 6 square feet

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Part B

Draw a line from A to C. This splits the parallelogram into two congruent triangles.

So the area of each triangle is (1/2)*6 = 3

The same exact thing happens if we drew a line from B to D.

Answer: 3 square feet