document.write( "Question 104097: A rectangle is three times as long as it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 36 cm (squared). find its original dimensions. \n" ); document.write( "
Algebra.Com's Answer #75754 by edjones(8007)![]() ![]() You can put this solution on YOUR website! L=3w \n" ); document.write( "(3w-2)(w-2)+36=3w^2 \n" ); document.write( "3w^2-8w+4+36=3w^2 subtract 3w^2 from each side. \n" ); document.write( "-8w+40=0 \n" ); document.write( "-8w=-40 subtract 40 from each side. \n" ); document.write( "w=5 divide each side by -8 \n" ); document.write( "L=15 \n" ); document.write( "Check: \n" ); document.write( "5*15=75 \n" ); document.write( "3*13=39 \n" ); document.write( "75-39=36 \n" ); document.write( "Ed \n" ); document.write( " |