document.write( "Question 1205903: A square patchwork quilt is made of many small squares. The quilt is too small to place on designated furniture. Quilt is to be enlarged square one row each way. 177 more squares are made and are just enough to increase to desired size. Determine number of small squares in original.\r
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Algebra.Com's Answer #843170 by MathTherapy(10551)\"\" \"About 
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document.write( "A square patchwork quilt is made of many small squares.  The quilt is too small to place on designated furniture.  Quilt is to be enlarged square one row each way.  177 more squares are made and are just enough to increase to desired size.  Determine number of small squares in original.\r\n" );
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document.write( "Not sure how to solve.\r\n" );
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document.write( "Let number of small squares in each row, be S\r\n" );
document.write( "Then, S will also be the number of small squares in each column\r\n" );
document.write( "Area of ORIGINAL quilt would then be S x S = S2\r\n" );
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document.write( "With 1 small square being added to each row, number of small squares in each row would increase to\r\n" );
document.write( "S + 1. Likewise, number of small squares in each COLUMN would also increase to S + 1, thereby making\r\n" );
document.write( "the quilt's new area, (S + 1)2.\r\n" );
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document.write( "The difference in the original area and the new area is a total 177 small squares. \r\n" );
document.write( "Therefore, we get the following: (S + 1)2 - S2 = 177\r\n" );
document.write( "                              S2 + 2S + 1 - S2 = 177\r\n" );
document.write( "                                        2S + 1 = 177\r\n" );
document.write( "                                            2S = 176\r\n" );
document.write( "Original number of small squares in each row/column, or \"matrix%281%2C5%2C+S%2C+%22=%22%2C+176%2F2%2C+%22=%22%2C+88%29%29\"\r\n" );
document.write( "Original number of small squares on quilt = 88 x 88, or 882 = 7,744
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