document.write( "Question 1058106: the length of a rectangle is twice its width .if the width is reduced by 1cm and the length is also reduced by 2cm, the area Will be 15cm^2.find the dimension of the original rectangle \n" ); document.write( "
Algebra.Com's Answer #673134 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the length of a rectangle is twice its width .if the width is reduced by 1cm and the length is also reduced by 2cm, the area Will be 15cm^2.find the dimension of the original rectangle \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "L = 2*W \n" ); document.write( "(W-1)(L-2) = 15 \n" ); document.write( "-------------------------- \n" ); document.write( "Substitute for \"L\" and solve for \"W\":: \n" ); document.write( "(W-1)(2W-2) = 15 \n" ); document.write( "2W^2 -4W -13 = 0 \n" ); document.write( "----- \n" ); document.write( "Width = 3.74 cm \n" ); document.write( "Length = 2*W = 7.48 cm \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |