document.write( "Question 179491: i don't understand how to do this? can you please help? here is the problem:
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document.write( "a poster is 20 cm longer than it is wide. it is mounted on a piece of cardboard so that there is a 10 cm border on all sides. if the area of the border is 2400 cm squared what is the area of the poster? \n" );
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Algebra.Com's Answer #134431 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! a poster is 20 cm longer than it is wide. it is mounted on a piece of cardboard so that there is a 10 cm border on all sides. if the area of the border is 2400 cm squared what is the area of the poster? \n" ); document.write( ". \n" ); document.write( "Let x = width of poster \n" ); document.write( "then \n" ); document.write( "x+20 = length of poster \n" ); document.write( ". \n" ); document.write( "Cardboard backing is: \n" ); document.write( "x+10 = width \n" ); document.write( "x+20 + 10 = length \n" ); document.write( ". \n" ); document.write( "\"border area\" = \"cardboard area\" - \"poster area\" \n" ); document.write( "2400 = (x+10)(x+30) - x(x+20) \n" ); document.write( "2400 = x^2+30x+10x+300 - x^2-20x \n" ); document.write( "2400 = x^2+40x+300 - x^2-20x \n" ); document.write( "2400 = 40x+300 -20x \n" ); document.write( "2400 = 20x+300 \n" ); document.write( "2100 = 20x \n" ); document.write( "105 cm = x (width) \n" ); document.write( ". \n" ); document.write( "length: \n" ); document.write( "x+20 = 105+20 = 125 cm \n" ); document.write( ". \n" ); document.write( "area = 105*125 = 13125 square cm \n" ); document.write( " \n" ); document.write( " |