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J.L.

PLEASE HELP! The figure below shows AB = 4 units and BD = 6 units. If the area of triangle ADE is 50 square units, what is the area of the trapezoid BCED? 40 square units 44 square units 48 square units 42 square units http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_Seg_Two_Exam_35/image0034e9d7dd7.jpg

  • one year ago
  • one year ago

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  1. Calcmathlete
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    Are you familiar with the concept that similar figures have a ratio for area?

    • one year ago
  2. lgbasallote
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    de javu

    • one year ago
  3. J.L.
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    Yea

    • one year ago
  4. Calcmathlete
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    I mean as in if there is a ratio between side lengths a : b, then the ratio fo the areas is \(a^2 : b^2\)

    • one year ago
  5. lgbasallote
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    im thinking area of big triangle - area of small triangle = area of trapezoid

    • one year ago
  6. J.L.
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    Yea I know what you're talking about @Calcmathlete

    • one year ago
  7. Calcmathlete
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    Yup. First you have to find the area of the smaller triangle though. If a : b is 2 : 5, then what is \(a^2 : b^2\)?

    • one year ago
  8. J.L.
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    4:25

    • one year ago
  9. lgbasallote
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    how did you get 2:5 again?

    • one year ago
  10. J.L.
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    Shouldn't it be 4:5?

    • one year ago
  11. Calcmathlete
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    The ratio of the similar triangles lgba. Now, set up a proportion between the two areas. \[\frac{4}{25} = \frac{x}{50}\]Solve for x.

    • one year ago
  12. Calcmathlete
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    Why do you say it should be 4 : 5?

    • one year ago
  13. J.L.
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    Because that's the ratio of the corresponding sides...CB=4 and BE=5 so the ratio would be 4:5 or 0.8

    • one year ago
  14. Calcmathlete
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    Are we looking at the same picture?

    • one year ago
  15. J.L.
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    Sorry I was looking at a different question haha

    • one year ago
  16. J.L.
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    shouldn't it be 4:6 then or 2:3?

    • one year ago
  17. Calcmathlete
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    Not quite. That isn't the ratio of the triangles. Think about it. 6 is a part of the side of a triangle. Not the actual triangle.

    • one year ago
  18. J.L.
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    Okay got it x=8

    • one year ago
  19. Calcmathlete
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    Ok. Now subtract the areas of the two triangles.

    • one year ago
  20. J.L.
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    I know the area of the first triangle is 50...what's the area of the second?

    • one year ago
  21. Calcmathlete
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    Area of the second triangle = 8

    • one year ago
  22. J.L.
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    Ohhh 50-8=42

    • one year ago
  23. Calcmathlete
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    There you go :)

    • one year ago
  24. J.L.
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    You are truly awesome

    • one year ago
  25. Calcmathlete
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    lol Thanks @lgbasallote Clearly you need to brush up on those geometry skills ;)

    • one year ago
  26. lgbasallote
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    ...clearly...

    • one year ago
  27. lgbasallote
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    hmm it always is 42 huh

    • one year ago
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