document.write( "Question 64025This question is from textbook Algebra Structure and Method Book 1
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document.write( ": A rectangle is twice as long as it is wide.If both its dimensions are increased by 4 m,its area is increased by 88 m squared.Make a sketch as in Oral Exercise 1.Find the dimensions of the original rectangle. \n" );
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Algebra.Com's Answer #44763 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! A rectangle is twice as long as it is wide.If both its dimensions are increased by 4 m,its area is increased by 88 m squared.Make a sketch as in Oral Exercise 1.Find the dimensions of the original rectangle. \n" ); document.write( "L=2W \n" ); document.write( "AREA OF ORIGINAL RECTANGLE = LW = 2W*W=2W^2 \n" ); document.write( "L IS INCREASED TO L+4=2W+4 \n" ); document.write( "W IS INCREASED TO W+4 \n" ); document.write( "AREA OF NEW RECTANGLE = (2W+4)(W+4)==2W^2+12W+16 \n" ); document.write( "INCREASE IN AREA = 2W^2+12W+16-2W^2=12W+16=88 \n" ); document.write( "12W=88-16=72 \n" ); document.write( "W=72/12=6 \n" ); document.write( "L=2W=12 \n" ); document.write( " \n" ); document.write( " |