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# In the diagram find the length of AB?

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Senior Manager
Joined: 03 Mar 2010
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In the diagram find the length of AB?  [#permalink]

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08 Sep 2011, 14:23
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Difficulty:

65% (hard)

Question Stats:

64% (02:05) correct 36% (01:53) wrong based on 90 sessions

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In the diagram find the length of AB?

(1) ABCD is a rectangle
(2) AC - AE = AB + BE

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Re: In the diagram find the length of AB?  [#permalink]

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08 Sep 2011, 16:01

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Re: In the diagram find the length of AB?  [#permalink]

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08 Sep 2011, 19:27
a AC^2 = AB^2 + BC ^2 = 25 thus AB can have generic value.

b AC + AB = AE + BE meaning AC = 2 AB thus AB = 5/2= 2.5

B it is.
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Re: In the diagram find the length of AB?  [#permalink]

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09 Sep 2011, 04:06
B is the answ.
5-AE=AB+BE since AE+BE=AB then 5==2AB
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Re: In the diagram find the length of AB?  [#permalink]

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09 Sep 2011, 04:36
when I tried to rephrase it. I found that if the shape is a square would solve the problem. however, statement 1 said it is rectangular. So no use of the information

The answer is B . But I am a pit confused about #5 in the question stem ? we did not use it right?
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Re: In the diagram find the length of AB?  [#permalink]

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09 Sep 2011, 05:29
denver2018 wrote:
The answer is B . But I am a bit confused about #5 in the question stem ? we did not use it right?

We did. How else will you find length of AB.
Look at stmt2:
AC-AE=AB+BE
AC-AE+AE=AB+BE+AE
AC=AB+BE+AE
Now from diagram, AE+BE=AB
AC=AB+AB
AC=2AB
AB=1/2AC
We know AC=5
AB=1/2*5=2.5
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Re: In the diagram find the length of AB?  [#permalink]

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31 Aug 2017, 08:18
Ans is B

1) ABCD is rectangle = AD eliminated
2) AC-AE=AB+BE
AC-(AE+EB) =AB
AC-AB=AB
AC=2AB
AB=5/2

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Re: In the diagram find the length of AB?   [#permalink] 31 Aug 2017, 08:18
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