document.write( "Question 780126: A poster advertising a student election candidate is too large according to the election rules. The candidate is told she must reduce the length and width of the poster by 20%. By what percentage must the area of the poster be reduced?\r
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document.write( "The answer is 36%, I just do not know how to get there. \n" );
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Algebra.Com's Answer #475478 by MathTherapy(10556) You can put this solution on YOUR website! \n" ); document.write( "A poster advertising a student election candidate is too large according to the election rules. The candidate is told she must reduce the length and width of the poster by 20%. By what percentage must the area of the poster be reduced?\r \n" ); document.write( "\n" ); document.write( "The answer is 36%, I just do not know how to get there. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the length and width of the \"too large\" poster be L and W, respectively\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then its area = LW\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reducing its length, or L by 20% makes it 80% of its original length, or .8L\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reducing its width, or W by 20% makes it 80% of its original width, or .8W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "New area with new, reduced length and width = .8L * .8W, or .64LW\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It's obvious that the original area (LW) has been reduced to .64LW, which is a difference of LW - .64LW, or .36LW, or |