document.write( "Question 319627: Each side of a rectangle increased by l%. The perimeter of the rectangle is
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document.write( "a 4% b 2% c 1% d 0.25% e 0.5% \n" );
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Algebra.Com's Answer #228893 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Each side of a rectangle increased by l%. The perimeter of the rectangle is \n" ); document.write( "increased by \n" ); document.write( ". \n" ); document.write( "Let x=width \n" ); document.write( "and y=length \n" ); document.write( ". \n" ); document.write( "Original perimeter is \n" ); document.write( "2(x+y) \n" ); document.write( ". \n" ); document.write( "Increased by 1% \n" ); document.write( "1.01x = width \n" ); document.write( "1.01y = lenth \n" ); document.write( "perimeter is: \n" ); document.write( "2(1.01x + 1.01y) \n" ); document.write( "2*1.01(x+y) \n" ); document.write( "2.02(x+y) \n" ); document.write( ". \n" ); document.write( "amount increased: \n" ); document.write( "2.02(x+y) - 2(x+y) \n" ); document.write( "(x+y)(2.02-2) \n" ); document.write( "(x+y)(0.02) \n" ); document.write( "0.02(x+y) \n" ); document.write( ". \n" ); document.write( "percent increased is then \n" ); document.write( "[.02(x+y)]/[2(x+y)] * 100 \n" ); document.write( "[.02]/[2] * 100 \n" ); document.write( ".01 * 100 \n" ); document.write( "1% \n" ); document.write( "---------------- \n" ); document.write( "I copied and pasted Nerdy Bill's solution, and changed it from 10% to the requested 1%. \n" ); document.write( "--------------- \n" ); document.write( "Nerdy Bill used 10% increase (inadvertently) and got a 10% increase in perimeter. I used 1%, and got a 1% increase in perimeter. \n" ); document.write( "The perimeter is linearly related to the side lengths. s*x --> p*x \n" ); document.write( " |