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jacobciezki

  • one year ago

What is the area of the figure?

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  1. jacobciezki
    • one year ago
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    one sec

  2. jacobciezki
    • one year ago
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    there

  3. SolomonZelman
    • one year ago
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    |dw:1436297142209:dw|

  4. SolomonZelman
    • one year ago
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    |dw:1436297153477:dw|

  5. SolomonZelman
    • one year ago
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    what is this length that I marked with a question mark? how long is it, do you know?

  6. jacobciezki
    • one year ago
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    idk the whole line is 17

  7. SolomonZelman
    • one year ago
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    yes, and you know that up to that point the length is 12

  8. SolomonZelman
    • one year ago
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    so the little segment that I marked is how long?

  9. jacobciezki
    • one year ago
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    um 5

  10. SolomonZelman
    • one year ago
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    yes, exactly:)

  11. SolomonZelman
    • one year ago
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    Now I will re-write the picture.

  12. jacobciezki
    • one year ago
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    ok

  13. jacobciezki
    • one year ago
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    soo

  14. SolomonZelman
    • one year ago
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    |dw:1436297366908:dw|

  15. SolomonZelman
    • one year ago
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    that is all you need to know, and now we will split this shape into two different shapes. - triangle - trapezoid

  16. SolomonZelman
    • one year ago
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    |dw:1436297509433:dw|

  17. jacobciezki
    • one year ago
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    how you do that

  18. SolomonZelman
    • one year ago
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    |dw:1436297594485:dw|

  19. SolomonZelman
    • one year ago
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    Can you find the area of this triangle here?

  20. jacobciezki
    • one year ago
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    umm 360

  21. SolomonZelman
    • one year ago
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    When finding the area of a triangle, we apply the following formula. \(\large \displaystyle {\rm Area}=\frac{({\rm base})\times({\rm height}) }{2}\) `(you were almost correct)`

  22. jacobciezki
    • one year ago
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    180

  23. SolomonZelman
    • one year ago
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    yes

  24. SolomonZelman
    • one year ago
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    So the area of the triangle is 180.

  25. SolomonZelman
    • one year ago
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    Now the trapezoid.

  26. SolomonZelman
    • one year ago
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    Whenever we have a trapezoid with bases \({\rm B}_1\) and \({\rm B}_2\), and a hieght \({\rm H}\), we apply this formula: (below) \(\displaystyle \large {\rm Area}=\left(\frac{{\rm B}_1~+~{\rm B}_2}{2}\right)\times {\rm H}\)

  27. SolomonZelman
    • one year ago
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    |dw:1436298221879:dw|

  28. SolomonZelman
    • one year ago
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    So your bases are 14 and 18 (doesn't matter which one you assign \({\rm B}_1\) and which you assign \({\rm B}_2\)). And your height is 5. ---------------------------------------------------- \({\rm B}_1\) and \({\rm B}_2\) \(\huge \rightarrow\) \(14\) and \(18\) \({\rm H}=5\) ---------------------------------------------------- Now plug in this into the formula (below). \(\displaystyle \large {\rm Area}=\left(\frac{{\rm B}_1~+~{\rm B}_2}{2}\right)\times {\rm H}\)

  29. jacobciezki
    • one year ago
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    80 ?????????????????//

  30. jacobciezki
    • one year ago
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    what is it 180 188 or 80

  31. SolomonZelman
    • one year ago
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    |dw:1436298631302:dw|

  32. SolomonZelman
    • one year ago
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    So the area of the trapezoid is 80 (and recall that the area of the triangle is 180)

  33. SolomonZelman
    • one year ago
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    |dw:1436298718423:dw|

  34. SolomonZelman
    • one year ago
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    so then if triangle is 180 and trapezoid is 80, the entire figure has an area of?

  35. jacobciezki
    • one year ago
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    260

  36. wil476003
    • one year ago
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    The triangle would not be 180 it is 108 becuase 9 times 12 equals 108 and then you divide it by two to get 54 and then you multiply it by 2 so the full answer would be 188

  37. jacobciezki
    • one year ago
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    SolomonZelman

  38. SolomonZelman
    • one year ago
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    yes I allowed an error by a triangle

  39. SolomonZelman
    • one year ago
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    tnx for correcting me @wil476003 the height of the triangle is 12. So, Area (of the triangle) = (12 • 18) ÷ 2 = 108

  40. SolomonZelman
    • one year ago
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    I apologize for my mistake, and for my departures. I am cooking for my family (or at least trying to), and for this reason I had to leave for undefined periods of time.

  41. SolomonZelman
    • one year ago
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    see why triangle has an area of 108?

  42. jacobciezki
    • one year ago
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    yea

  43. SolomonZelman
    • one year ago
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    Then the entire shape = triangle + trapezoid = 108 + 80 = 188 (as wil476003 previously asserted)

  44. SolomonZelman
    • one year ago
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    gtg again

  45. SolomonZelman
    • one year ago
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    sory, bye

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