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anonymous

  • one year ago

The two figures are similar. The area of the smaller trapezoid is 771. The ratio of the smaller trapezoid to the bigger trapezoid is 28:64. What is the area of the bigger trapezoid? a) 4,096 b) 4,028 c) 784 d) 21

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  1. anonymous
    • one year ago
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    Is there missing info from the question?

  2. anonymous
    • one year ago
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    Yes my bad! What is the area of the bigger trapezoid?

  3. anonymous
    • one year ago
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    Haha alright give me a min or two :)

  4. anonymous
    • one year ago
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    Thank you!

  5. anonymous
    • one year ago
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    B :)

  6. anonymous
    • one year ago
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    Sorry, I took a bit longer than I thought. I was getting help on my own question.

  7. anonymous
    • one year ago
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    It's fine, thank you so much!

  8. anonymous
    • one year ago
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    No problem. Do you need to know how to do it, or are you okay?

  9. anonymous
    • one year ago
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    Can you please explain it. :)

  10. anonymous
    • one year ago
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    Sure thing!

  11. kropot72
    • one year ago
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    @kristinalgarcia I already showed you how to do basically the same question.

  12. anonymous
    • one year ago
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    Yes I'm aware of that but when I did it with the way you showed me on this problem the answer I got was not an answer choice.

  13. anonymous
    • one year ago
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    Okay so they gave you the are of the *similar* trapezoid which was 771. And the ratio was 28:64. So, 28/28=1 , and 64/28 = 2.28571429... When you square 2.28... : (2.285...)^2 , you get 5.2244... which is the ratio of the areas of the similar trapezoids. So, the area of the bigger trapezoid is 5.2244... times bigger than the smaller one: 771(5.2244...) = 4,028.0816... => 4,028

  14. kropot72
    • one year ago
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    Just multiply by the square of the scale factor: \[\large 771\times(\frac{64}{28})^{2}=you\ can\ calculate\]

  15. anonymous
    • one year ago
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    Now I see what I did wrong. @kropot72

  16. kropot72
    • one year ago
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    @kristinalgarcia The way that I showed you gives one of the answer choices.

  17. anonymous
    • one year ago
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    Yep, ^ that is an easier, much more efficient way of solving it, provided you have a graphing calculator or sufficient calculator app. I can't do that on my phone, so I did it an alternate way, but both will give you the same answer! :)

  18. anonymous
    • one year ago
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    @Thatsodan Thank you!

  19. anonymous
    • one year ago
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    Of course!

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