document.write( "Question 339032: A rectangular counter top is 16 inches longer than it is wide. If the area of the counter top is 420 square inches, find the length and and the width. \n" ); document.write( "
Algebra.Com's Answer #243023 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let width be x \n" ); document.write( "length = x+16 inches \n" ); document.write( ". \n" ); document.write( "Area of rectangle A = L*W \n" ); document.write( "420 = x(x+16) \n" ); document.write( "420 = x^2 16x \n" ); document.write( "x^2+16x -420 =0 \n" ); document.write( "x^2+30x-14x-420=0 \n" ); document.write( "x(x+30)-14(x+30)=0 \n" ); document.write( "(x+30)(x-14)=0 \n" ); document.write( "x= 14 inches the width. \n" ); document.write( "The length = x+16 \n" ); document.write( "= 14+16=30 inches. \n" ); document.write( " \n" ); document.write( " |