Orkut Maths Puzzle

Q. My room has a square window of 4 feet across and 4 feet down. I decided to get only half the area of the window painted. Even after the painting, I found that the clear part of the window still remained a square and still measured 4 feet from top to bottom and 4 feet from side to side. How is it possible?

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Orkut Other Question

Q. Four whole numbers - a, b, c and d.
such that -
1. ( a + b + c + d ) is a perfect square
2. ( a + b ), ( a + c ), ( a + d ), ( b + c ) , ( b + d ) and ( c + d ) are also each a perfect square. What are the smallest values for a, b, c and d?
Q. What is the next number of the following sequence.

123, 135, 148, 1512, 1663, 17129, 188311,____