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What is the ratio of AB to BC in the rectangular figure above?

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Bunuel
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What is the ratio of AB to BC in the rectangular figure above? [#permalink] New post   22 May 2016, 13:32
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What is the ratio of AB to BC in the rectangular figure above?

(1) The perimeter of ABCD is 32.
(2) All the small rectangles have the same dimensions.

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chetan2u
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Re: What is the ratio of AB to BC in the rectangular figure above? [#permalink] New post   22 May 2016, 20:39
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Bunuel wrote:

What is the ratio of AB to BC in the rectangular figure above?

(1) The perimeter of ABCD is 32.
(2) All the small rectangles have the same dimensions.

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Attachment:
d004-4.gif


We can say from rectangle that 3 edges are making 1 length.. BUT we do not know if all dimensions are same..

(1) The perimeter of ABCD is 32.
does not help in any way..INsuff

(2) All the small rectangles have the same dimensions.
Now we can say that 3'w' make a 'l'..
so AB = 3w and BC = l+2w=3w+2w=5w..
Ratio = 3w/5w = 3/5
suff

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Re: What is the ratio of AB to BC in the rectangular figure above? [#permalink] New post   10 Sep 2017, 14:45
Dear Chetan2u

I understand that in the Statement 2, 3'w' make a 'l'. But how did you assumed that the two horizontal rectangles would have its width of w?

Thanks a lot!
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Re: What is the ratio of AB to BC in the rectangular figure above? [#permalink] New post   10 Sep 2017, 17:59
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robertops wrote:
Dear Chetan2u

I understand that in the Statement 2, 3'w' make a 'l'. But how did you assumed that the two horizontal rectangles would have its width of w?

Thanks a lot!



Hi...

All the triangles are similar as given.
Now we know that dimensions are l and w of each. And there are 3 vertical triangles for length of each horizontal triangle.
So dimensions become 3w and w....

The width will remain w for each as all have same dimensions
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Re: What is the ratio of AB to BC in the rectangular figure above? [#permalink]
10 Sep 2017, 17:59
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Bunuel
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