## 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

1. anonymous

Is there missing info from the question?

2. anonymous

Yes my bad! What is the area of the bigger trapezoid?

3. anonymous

Haha alright give me a min or two :)

4. anonymous

Thank you!

5. anonymous

B :)

6. anonymous

Sorry, I took a bit longer than I thought. I was getting help on my own question.

7. anonymous

It's fine, thank you so much!

8. anonymous

No problem. Do you need to know how to do it, or are you okay?

9. anonymous

Can you please explain it. :)

10. anonymous

Sure thing!

11. kropot72

@kristinalgarcia I already showed you how to do basically the same question.

12. 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.

13. 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

14. kropot72

Just multiply by the square of the scale factor: $\large 771\times(\frac{64}{28})^{2}=you\ can\ calculate$

15. anonymous

Now I see what I did wrong. @kropot72

16. kropot72

@kristinalgarcia The way that I showed you gives one of the answer choices.

17. 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! :)

18. anonymous

@Thatsodan Thank you!

19. anonymous

Of course!