A parallelogram is shown below: A parallelogram ABCD is shown with DC equal to 3 feet and the perpendicular distance between AB and DC equal to 2 over 3 foot. 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)
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Answer:
where is the parallelogram
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Given : A parallelogram
Base = 3 feet
Height = 2/3 foot
To Find : area of the parallelogram
Solution:
area of the parallelogram = Base * height
Base = 3 feet
Height = 2/3 foot
=>Area of the parallelogram = 3 x (2/3)
= 2 sq feet
Parallelogram can be decomposed in 2 triangle by joining either AC or BD
Area of triangle = (1/2) x base * height
Hence area of each triangle = (1/2) Area of the parallelogram
= (1/2) * 2
= 1 sq feet
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