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gabbyalicorn

  • one year ago

Figure DEFG is equivalent to a trapezoid with a semicircle removed from its upper base. What is the area of figure DEFG?

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  1. gabbyalicorn
    • one year ago
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    https://www.dropbox.com/s/8gu1yxvuppvea7n/Screenshot%202015-06-16%2023.44.12.png?dl=0

  2. Michele_Laino
    • one year ago
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    first step: we have to compute the area of trapezoid, which is: \[Area = \frac{{\left( {B + b} \right) \times h}}{2} = \frac{{\left( {14 + 8} \right) \times 5}}{2} = ...c{m^2}\]

  3. gabbyalicorn
    • one year ago
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    55

  4. Michele_Laino
    • one year ago
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    that's right!

  5. Michele_Laino
    • one year ago
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    second step: we have to compute the area of the half circle: \[area = \pi \times 4 \times 4 = ...c{m^2}\] please don't multiply by 3.14

  6. gabbyalicorn
    • one year ago
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    XD okay

  7. gabbyalicorn
    • one year ago
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    i got 16

  8. Michele_Laino
    • one year ago
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    oops.. the area is: \[area = \frac{{\pi \times 4 \times 4}}{2} = ...c{m^2}\]

  9. gabbyalicorn
    • one year ago
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    8

  10. Michele_Laino
    • one year ago
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    yes! it is 8*pi

  11. gabbyalicorn
    • one year ago
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    B? :D

  12. Michele_Laino
    • one year ago
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    now the requested area is the subtraction between those areas, namely: \[{\text{requested area}} = {\text{area of trapezoid - area of halfcircle}}\]

  13. Michele_Laino
    • one year ago
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    hint: \[\begin{gathered} {\text{requested area}} = {\text{area of trapezoid - area of halfcircle = }} \hfill \\ {\text{ = }}55 - 8\pi = ... \hfill \\ \end{gathered} \]

  14. gabbyalicorn
    • one year ago
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    147.58 i think i didnt do it correctly

  15. Michele_Laino
    • one year ago
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    no, you don't have to multiply by 3.14, the right option is B as you wrote before

  16. gabbyalicorn
    • one year ago
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    but then whhy did u put the pi ;-;

  17. Michele_Laino
    • one year ago
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    because the area of the half circle is: 8*pi

  18. gabbyalicorn
    • one year ago
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    :I kay.

  19. Michele_Laino
    • one year ago
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    :)

  20. gabbyalicorn
    • one year ago
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    Thanks. :)

  21. Michele_Laino
    • one year ago
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    :)

  22. gabbyalicorn
    • one year ago
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    my face

  23. gabbyalicorn
    • one year ago
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    lol ^

  24. Michele_Laino
    • one year ago
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    thanks for your picture! It is a beautiful gift :)

  25. gabbyalicorn
    • one year ago
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    LOL. Well this time I didn't make it XDDDD but i'm glad you like it.

  26. Michele_Laino
    • one year ago
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    :)

  27. gabbyalicorn
    • one year ago
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    Now i can sleep :) thank you Z_Z

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