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luisz

  • 3 years ago

What is the area of quadrilateral MNOP?

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  1. luisz
    • 3 years ago
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    |dw:1347832465830:dw|

  2. luisz
    • 3 years ago
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    tips?

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

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

  5. luisz
    • 3 years ago
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    so why is the area 96 and not 100?

  6. luisz
    • 3 years ago
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    isn't each side of quadrilateral MNOP 10?

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

  8. luisz
    • 3 years ago
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    MB is 8 and BN is 6

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

  10. KingGeorge
    • 3 years ago
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    That's right. Are you given more information?

  11. luisz
    • 3 years ago
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    no

  12. luisz
    • 3 years ago
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    I assume this quad to be a square

  13. luisz
    • 3 years ago
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    the perimeter is 40

  14. luisz
    • 3 years ago
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    10+10+10+10

  15. luisz
    • 3 years ago
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    but I may be wrong

  16. luisz
    • 3 years ago
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    since the area is 96;not 100

  17. KingGeorge
    • 3 years ago
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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.

  18. luisz
    • 3 years ago
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    ehh

  19. luisz
    • 3 years ago
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    the answer is 96 for area

  20. luisz
    • 3 years ago
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    and I am talking about quad MNOP

  21. luisz
    • 3 years ago
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    Not ABCD

  22. KingGeorge
    • 3 years ago
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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.

  23. luisz
    • 3 years ago
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    ahh

  24. luisz
    • 3 years ago
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    I see

  25. luisz
    • 3 years ago
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    shh

  26. luisz
    • 3 years ago
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    ahh

  27. KingGeorge
    • 3 years ago
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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?

  28. luisz
    • 3 years ago
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    yeah

  29. luisz
    • 3 years ago
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    so

  30. luisz
    • 3 years ago
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    12 times 16=192?

  31. luisz
    • 3 years ago
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    k

  32. luisz
    • 3 years ago
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    192-96=96?

  33. luisz
    • 3 years ago
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    I sorta understand that

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

  35. luisz
    • 3 years ago
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    ty

  36. KingGeorge
    • 3 years ago
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    Right. Are you getting 96 now?

  37. luisz
    • 3 years ago
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    yeppers

  38. luisz
    • 3 years ago
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    192-96=96

  39. davidji
    • 2 years ago
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    how did you get the height of the triangle?

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