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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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

Mathematics
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Is there missing info from the question?
Yes my bad! What is the area of the bigger trapezoid?
Haha alright give me a min or two :)

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Other answers:

Thank you!
B :)
Sorry, I took a bit longer than I thought. I was getting help on my own question.
It's fine, thank you so much!
No problem. Do you need to know how to do it, or are you okay?
Can you please explain it. :)
Sure thing!
@kristinalgarcia I already showed you how to do basically the same question.
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.
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
Just multiply by the square of the scale factor: \[\large 771\times(\frac{64}{28})^{2}=you\ can\ calculate\]
Now I see what I did wrong. @kropot72
@kristinalgarcia The way that I showed you gives one of the answer choices.
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! :)
@Thatsodan Thank you!
Of course!

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