document.write( "Question 194554: john had a square patio. after expanding the length by 20 ft and the wide by 10 ft the area was 999 ft^2 what was the perimeter of the original patio?
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document.write( "please help me to solve please...... help!!!!! \n" );
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Algebra.Com's Answer #145993 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! john had a square patio. after expanding the length by 20 ft and the wide by 10 ft the area was 999 ft^2 what was the perimeter of the original patio? \n" ); document.write( ". \n" ); document.write( "Let x = measure of one side of original square patio \n" ); document.write( "then \n" ); document.write( "x+20 = length of new \n" ); document.write( "x+10 = width of new \n" ); document.write( ". \n" ); document.write( "(x+20)(x+10) = 999 \n" ); document.write( "x^2+10x+20x+200 = 999 \n" ); document.write( "x^2+30x+200 = 999 \n" ); document.write( "x^2+30x-799 = 0 \n" ); document.write( "Factoring: \n" ); document.write( "(x+47)(x-17) = 0 \n" ); document.write( "x = {-47, 17} \n" ); document.write( "Tossing out the negative solution leaves: \n" ); document.write( "x = 17 feet \n" ); document.write( "Perimeter then is: \n" ); document.write( "4*17 = 68 feet\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |