Can someone tell me what I did wrong in this problem?

I used coordinate geometry on the problem gonitzoggo.com/archive/problem/32 and got BX value of 0.5 and value of AB = 1 . I probably did something wrong. The area of ABX works out to 0.25 which is apparently wrong. Can someone point it out?

The figure should be like this:

But here BX is not equal to 0.5. You are too close but there might be a little mistake in your calculation.

Try again…

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