document.write( "Question 674555: A square and a rectangle have the same area. The side lengths of the rectangle are integers and its perimeter is 28 m. What are the possible areas of the square? \n" ); document.write( "
Algebra.Com's Answer #419321 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We could have the case where the rectangle is a 7 unit\r\n" );
document.write( "by 7 unit square and the square is identical to it.  \r\n" );
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document.write( "The other cases are below, but in none of them does the \r\n" );
document.write( "square have sides which are integers, but only the\r\n" );
document.write( "rectangle.\r\n" );
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document.write( "The rectangle could be 1 unit by 13 units and its\r\n" );
document.write( "area and the area of the square are both 13 square units.\r\n" );
document.write( "However, each side of the square is 3.60555128 units which\r\n" );
document.write( "is not an integer.\r\n" );
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document.write( "The rectangle could be 2 units by 12 units and its\r\n" );
document.write( "area and the area of the square are both 24 square units.\r\n" );
document.write( "However, each side of the square is 4.89897949 units which\r\n" );
document.write( "is not an integer.\r\n" );
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document.write( "The rectangle could be 3 units by 11 units and its\r\n" );
document.write( "area and the area of the square are both 33 square units.\r\n" );
document.write( "However, each side of the square is 5.74456265 units which\r\n" );
document.write( "is not an integer.\r\n" );
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document.write( "The rectangle could be 4 units by 10 units and its\r\n" );
document.write( "area and the area of the square are both 40 square units.\r\n" );
document.write( "However, each side of the square is 6.32455532 units which\r\n" );
document.write( "is not an integer.\r\n" );
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document.write( "The rectangle could be 5 units by 9 units and its\r\n" );
document.write( "area and the area of the square are both 45 square units.\r\n" );
document.write( "However, each side of the square is 6.70820393 units which\r\n" );
document.write( "is not an integer.\r\n" );
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document.write( "The rectangle could be 6 units by 8 units and its\r\n" );
document.write( "area and the area of the square are both 48 square units.\r\n" );
document.write( "However, each side of the square is 6.92820323 units which\r\n" );
document.write( "is not an integer.\r\n" );
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document.write( "Edwin
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