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Mathematics 7 Online
OpenStudy (anonymous):

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?

OpenStudy (anonymous):

OpenStudy (danjs):

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

OpenStudy (anonymous):

oh i see so same formula?

OpenStudy (danjs):

Yes, base times height, both are given

OpenStudy (anonymous):

2/3 x 3 = 2

OpenStudy (danjs):

yep, 2 ft^2

OpenStudy (anonymous):

4

OpenStudy (anonymous):

brb one sec i need get pencil

OpenStudy (danjs):

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

OpenStudy (danjs):

Area has units of a length squared

OpenStudy (danjs):

What you think for B?

OpenStudy (anonymous):

back @DanJS

OpenStudy (danjs):

k

OpenStudy (anonymous):

the area of each triangle 1/2?

OpenStudy (anonymous):

wait no

OpenStudy (danjs):

Draw a line AC or BD

OpenStudy (anonymous):

ok i did that

OpenStudy (danjs):

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

OpenStudy (anonymous):

1

OpenStudy (danjs):

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

OpenStudy (danjs):

yep

OpenStudy (anonymous):

and the area is 4

OpenStudy (anonymous):

@DanJS

OpenStudy (danjs):

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

OpenStudy (danjs):

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

OpenStudy (anonymous):

i see because 2/3 x 3 = 2

OpenStudy (danjs):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

*you

OpenStudy (danjs):

no prob.. anytime

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