Question

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)

Answer 1

Answer:

where is the parallelogram

Answer 2

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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