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luisz

What is the area of quadrilateral MNOP?

  • one year ago
  • one year ago

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  1. luisz
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    |dw:1347832465830:dw|

    • one year ago
  2. luisz
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    tips?

    • one year ago
  3. luisz
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    I know the perimeter is 40 because each side of MNOP is 10

    • one year ago
  4. luisz
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    I came to that conclusion because of 6-8-10 right triangle

    • one year ago
  5. luisz
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    so why is the area 96 and not 100?

    • one year ago
  6. luisz
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    isn't each side of quadrilateral MNOP 10?

    • one year ago
  7. KingGeorge
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    Can you list out the lengths you're given please?

    • one year ago
  8. luisz
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    MB is 8 and BN is 6

    • one year ago
  9. luisz
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    I am assuming MN is 10 because of the 3-4-5 triangle rule

    • one year ago
  10. KingGeorge
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    That's right. Are you given more information?

    • one year ago
  11. luisz
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    no

    • one year ago
  12. luisz
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    I assume this quad to be a square

    • one year ago
  13. luisz
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    the perimeter is 40

    • one year ago
  14. luisz
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    10+10+10+10

    • one year ago
  15. luisz
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    but I may be wrong

    • one year ago
  16. luisz
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    since the area is 96;not 100

    • one year ago
  17. KingGeorge
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    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.

    • one year ago
  18. luisz
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    ehh

    • one year ago
  19. luisz
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    the answer is 96 for area

    • one year ago
  20. luisz
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    and I am talking about quad MNOP

    • one year ago
  21. luisz
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    Not ABCD

    • one year ago
  22. KingGeorge
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    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.

    • one year ago
  23. luisz
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    ahh

    • one year ago
  24. luisz
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    I see

    • one year ago
  25. luisz
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    shh

    • one year ago
  26. luisz
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    ahh

    • one year ago
  27. KingGeorge
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    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?

    • one year ago
  28. luisz
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    yeah

    • one year ago
  29. luisz
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    so

    • one year ago
  30. luisz
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    12 times 16=192?

    • one year ago
  31. luisz
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    k

    • one year ago
  32. luisz
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    192-96=96?

    • one year ago
  33. luisz
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    I sorta understand that

    • one year ago
  34. luisz
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    You find the whole area and subtract the part that interferes with MNOP

    • one year ago
  35. luisz
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    ty

    • one year ago
  36. KingGeorge
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    Right. Are you getting 96 now?

    • one year ago
  37. luisz
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    yeppers

    • one year ago
  38. luisz
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    192-96=96

    • one year ago
  39. davidji
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    how did you get the height of the triangle?

    • 9 months ago
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