document.write( "Question 174630: i need help sketching these
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document.write( "A rectangle is three times as long as it is wide. If its length and width are both decreased by 2cm, its area is decreased by 36cm^2. Find its original dimensions. Make a sketch \n" );
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Algebra.Com's Answer #129657 by edjones(8007)![]() ![]() You can put this solution on YOUR website! L=3w \n" ); document.write( ". \n" ); document.write( "Let L be the length, w be the width and A be the original area. \n" ); document.write( "L*w=A \n" ); document.write( "(L-2)(w-2)=A-36 \n" ); document.write( ". \n" ); document.write( "Substitute 3w for L in both equations. \n" ); document.write( "3w*w=A \n" ); document.write( "(3w-2)(w-2)=A-36 \n" ); document.write( ". \n" ); document.write( "3w^2=A \n" ); document.write( "3w^2-8w+4=A-36 \n" ); document.write( ". \n" ); document.write( "3w^2-8w+4=3w^2-36 substitute 3w^2 for A \n" ); document.write( "-8w+4=-36 \n" ); document.write( "-8w=-40 \n" ); document.write( "w=5 \n" ); document.write( "L=15 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |