## luisz 3 years ago What is the area of quadrilateral MNOP?

1. luisz

|dw:1347832465830:dw|

2. luisz

tips?

3. luisz

I know the perimeter is 40 because each side of MNOP is 10

4. luisz

I came to that conclusion because of 6-8-10 right triangle

5. luisz

so why is the area 96 and not 100?

6. luisz

isn't each side of quadrilateral MNOP 10?

7. KingGeorge

Can you list out the lengths you're given please?

8. luisz

MB is 8 and BN is 6

9. luisz

I am assuming MN is 10 because of the 3-4-5 triangle rule

10. KingGeorge

11. luisz

no

12. luisz

I assume this quad to be a square

13. luisz

the perimeter is 40

14. luisz

10+10+10+10

15. luisz

but I may be wrong

16. luisz

since the area is 96;not 100

17. KingGeorge

I think you're supposed to assume that each side length is 10. However, this does not mean it's a square. For example:|dw:1347833088897:dw|This quadrilateral actually has an area of 50. Remember that you need to multiply by the height, and the height may be different than the side length.

18. luisz

ehh

19. luisz

the answer is 96 for area

20. luisz

21. luisz

Not ABCD

22. KingGeorge

Just bear with me for a second. That was just an example to show that having side lengths of 10, doesn't imply that the area is 100.

23. luisz

ahh

24. luisz

I see

25. luisz

shh

26. luisz

ahh

27. KingGeorge

What I would do, is assume that all the triangles in your problem are congruent. Thus, you find the area of ABCD, and subtract 4*area of MBN. Does this make more sense?

28. luisz

yeah

29. luisz

so

30. luisz

12 times 16=192?

31. luisz

k

32. luisz

192-96=96?

33. luisz

I sorta understand that

34. luisz

You find the whole area and subtract the part that interferes with MNOP

35. luisz

ty

36. KingGeorge

Right. Are you getting 96 now?

37. luisz

yeppers

38. luisz

192-96=96

39. davidji

how did you get the height of the triangle?