document.write( "Question 1114956: Matt and Mark have a square tree house with side lengths of x meters, they are currently trying to increase the dimensions of the tree house by 5 meters on both sides. As a result the area of the new square tree house is 4 times the area of the original tree house. What is the area of the new tree house? \n" ); document.write( "

Algebra.Com's Answer #729866 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "The condition says\r\n" );
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document.write( "(x+5)^2 = 4x^2\r\n" );
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document.write( "where x is the original dimension of the house.\r\n" );
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document.write( "x^2 + 10x + 25 = 4x^2  ====>\r\n" );
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document.write( "3x^2 - 10x - 25 = 0\r\n" );
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document.write( "x =  = .\r\n" );
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document.write( "We are looking for the positive root, which is x = 5.\r\n" );
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document.write( "Answer.  The original size of the square house was 5 meters.  The extended size is 10 meters.\r\n" );
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