Question

A parallelogram is shown below:

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?

Answer 1

A=bh

A=8×0.75

A=6

this is how it can be solved

thank you

Answer 2

Given :  A parallelogram

Base = 8 feet

Height = 3/4 foot

To Find : area of the parallelogram

Solution:

area of the parallelogram = Base * height

Base = 8 feet

Height = 3/4 foot

=>Area of the parallelogram = 8 x (3/4)

= 6  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) * 8

= 4 sq feet

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