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What is the area of rectangle ABCD? 1. Diagonal AC is twice

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What is the area of rectangle ABCD? 1. Diagonal AC is twice [#permalink]

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New post 19 Nov 2007, 08:49
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the area of rectangle ABCD?

1. Diagonal AC is twice as long as side CD
2. Diagonal AC is .1 meters longer than AD


Please explain your answer.

Last edited by bmwhype2 on 19 Nov 2007, 09:39, edited 1 time in total.
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New post 19 Nov 2007, 09:16
(1) can't be sufficient - there are no numbers

What we do know though is that AC is twice CD. Call the length of CD X, so AC is 2X. So the other side has to be sqrt 3x^2
We also know that the other side is 0.1m shorter than diagonal AC, or 2x -0.1.

So, sqrt 3x^2 = 2x-0.1

We don't have to solve, but the two together are sufficient to solve.
  [#permalink] 19 Nov 2007, 09:16
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What is the area of rectangle ABCD? 1. Diagonal AC is twice

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