document.write( "Question 1094110: If one pair of opposite sides of a square is increased by 5cm, and the other pair is increased by 4cm, the area of the shape will be 101cm^2 more than the original area. What is the length of the square? \n" ); document.write( "

Algebra.Com's Answer #708719 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Your equation from the condition is\r\n" );
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document.write( "(x+5)*(x+4) = x^2 + 101  ====>\r\n" );
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document.write( "x^2 + 9x + 20 = x^2 + 101  ====>\r\n" );
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document.write( "9x = 101-20 = 81  ====>  x =  = 9.\r\n" );
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document.write( "Answer.  9 cm.\r\n" );
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