document.write( "Question 196019: The length of a rectangle is 6 inches less than three times its width. Find the dimensions of the rectangle if its area is 45 square inches. \n" ); document.write( "
Algebra.Com's Answer #146960 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Area = Length * Width \n" ); document.write( ". \n" ); document.write( "BUT,,L= 3w-6,,,, given \n" ); document.write( ". \n" ); document.write( "A=l*w = (3w-6) * w = 3w^2 -6w = 45,,,given \n" ); document.write( ". \n" ); document.write( "3w^2 -6w -45 =0 \n" ); document.write( ". \n" ); document.write( "3 (w^2 -2w -15) +0 \n" ); document.write( ". \n" ); document.write( "Factoring \n" ); document.write( ". \n" ); document.write( "3(w+3)(w-5) = 0 \n" ); document.write( ". \n" ); document.write( "using Zero Property \n" ); document.write( ". \n" ); document.write( "w+3 =0,,,,w = -3,,,not realistic \n" ); document.write( ". \n" ); document.write( "W-5 = 0, w=5,,,,ANSWER \n" ); document.write( ". \n" ); document.write( "Checking \n" ); document.write( ". \n" ); document.write( "w=5, L=3w-6 =3*5-6 = 15-6=9 \n" ); document.write( ". \n" ); document.write( "A = l*w = 9*5 = 45 ,,,ok \n" ); document.write( " \n" ); document.write( " |