document.write( "Question 542455: For every real number k, let ⌊k⌋ represent the \"floor function\", i.e., ⌊k⌋ is the greatest integer less than or equal to k. in the coordinate plane, what is the area of the region which represents ⌊x⌋² + ⌊y⌋² = 1?
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Algebra.Com's Answer #354585 by Edwin McCravy(20056)\"\" \"About 
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document.write( "The only way\r\n" );
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document.write( "⌊x⌋² + ⌊y⌋² = 1\r\n" );
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document.write( "can be true is for values of (x,y) such that \r\n" );
document.write( "either \r\n" );
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document.write( "⌊x⌋² = 0 and ⌊y⌋² = 1 or \r\n" );
document.write( "⌊y⌋² = 0 and ⌊x⌋² = 1 or\r\n" );
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document.write( "⌊x⌋² = 0 when and only when  0 ≦ x < 1\r\n" );
document.write( "⌊x⌋² = 1 when and only when -1 ≦ x ≦ 1\r\n" );
document.write( "⌊y⌋² = 0 when and only when  0 ≦ y < 1\r\n" );
document.write( "⌊y⌋² = 1 when and only when -1 ≦ y ≦ 1\r\n" );
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document.write( "⌊x⌋² = 0 and ⌊y⌋² = 1 when and only when 0 ≦ x < 1 and -1 ≦ y ≦ 1\r\n" );
document.write( "⌊y⌋² = 0 and ⌊x⌋² = 1 when and only when 0 ≦ y < 1 and -1 ≦ x ≦ 1\r\n" );
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document.write( "Thus it is true at all points interior and on the square excpt at the\r\n" );
document.write( "four corners\r\n" );
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document.write( "Its area is 2x2 or 4 square units.\r\n" );
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document.write( "Edwin
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