anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Is there missing info from the question?
anonymous
  • anonymous
Yes my bad! What is the area of the bigger trapezoid?
anonymous
  • anonymous
Haha alright give me a min or two :)

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

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