## anonymous one year ago 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?

1. anonymous

2. DanJS

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

3. anonymous

oh i see so same formula?

4. DanJS

Yes, base times height, both are given

5. anonymous

2/3 x 3 = 2

6. DanJS

yep, 2 ft^2

7. anonymous

4

8. anonymous

brb one sec i need get pencil

9. DanJS

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

10. DanJS

Area has units of a length squared

11. DanJS

What you think for B?

12. anonymous

back @DanJS

13. DanJS

k

14. anonymous

the area of each triangle 1/2?

15. anonymous

wait no

16. DanJS

Draw a line AC or BD

17. anonymous

ok i did that

18. DanJS

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

19. anonymous

1

20. DanJS

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

21. DanJS

yep

22. anonymous

and the area is 4

23. anonymous

@DanJS

24. DanJS

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

25. DanJS

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

26. anonymous

i see because 2/3 x 3 = 2

27. DanJS

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

28. anonymous

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

29. anonymous

*you

30. DanJS

no prob.. anytime