document.write( "Question 86695: Solve algebraically using only one variable. The length of a rectangle is two more than twice its width. If the area of the rectangle is 84, find the length and width. \n" ); document.write( "
Algebra.Com's Answer #62711 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve algebraically using only one variable. The length of a rectangle is two more than twice its width. If the area of the rectangle is 84, find the length and width. \n" ); document.write( "------------ \n" ); document.write( "Let the width be x; then the length is 2x+2 \n" ); document.write( "EQUATION: \n" ); document.write( "Area = width*length \n" ); document.write( "84 = x(2x+2) \n" ); document.write( "42 = x(x+1) \n" ); document.write( "x^2+x-42=0 \n" ); document.write( "(x+7)(x-6)=0 \n" ); document.write( "Positive answer: \n" ); document.write( "x=6 (width) \n" ); document.write( "2x+2 = 14 (length) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |