Medal
Part A: What is the area of the parallelogram? Show your work.
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?

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- anonymous

##### 1 Attachment

- DanJS

The area of one of those is the same as a rectangle area, the base ties the height

- anonymous

oh i see so same formula?

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## More answers

- DanJS

Yes, base times height, both are given

- anonymous

2/3 x 3 = 2

- DanJS

yep, 2 ft^2

- anonymous

4

- anonymous

brb one sec i need get pencil

- DanJS

no , that is the unit ft^2
(2/3 ft)*(3 ft) = 2 ft*ft = 2 ft^2

- DanJS

Area has units of a length squared

- DanJS

What you think for B?

- anonymous

back @DanJS

- DanJS

k

- anonymous

the area of each triangle 1/2?

- anonymous

wait no

- DanJS

Draw a line AC or BD

- anonymous

ok i did that

- DanJS

The area of a triangle is half the base times the height

- anonymous

1

- DanJS

same base and same height as the parallelogram, so each triangle is half the area of the parallelogram

- DanJS

yep

- anonymous

and the area is 4

- anonymous

- DanJS

why 4, the area of the paralellogream is 2 ft^2 (2 square feet)

- DanJS

And each triangle is half of that, or 1 ft^2

- anonymous

i see because 2/3 x 3 = 2

- DanJS

yes, and if you keep your units in there, you get ft*ft = ft^2

- anonymous

Alright Thank for your constant help i appreciate it a lot (:

- anonymous

*you

- DanJS

no prob.. anytime

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