document.write( "Question 174630: i need help sketching these
\n" ); document.write( "A rectangle is three times as long as it is wide. If its length and width are both decreased by 2cm, its area is decreased by 36cm^2. Find its original dimensions. Make a sketch
\n" ); document.write( "

Algebra.Com's Answer #129657 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
L=3w
\n" ); document.write( ".
\n" ); document.write( "Let L be the length, w be the width and A be the original area.
\n" ); document.write( "L*w=A
\n" ); document.write( "(L-2)(w-2)=A-36
\n" ); document.write( ".
\n" ); document.write( "Substitute 3w for L in both equations.
\n" ); document.write( "3w*w=A
\n" ); document.write( "(3w-2)(w-2)=A-36
\n" ); document.write( ".
\n" ); document.write( "3w^2=A
\n" ); document.write( "3w^2-8w+4=A-36
\n" ); document.write( ".
\n" ); document.write( "3w^2-8w+4=3w^2-36 substitute 3w^2 for A
\n" ); document.write( "-8w+4=-36
\n" ); document.write( "-8w=-40
\n" ); document.write( "w=5
\n" ); document.write( "L=15
\n" ); document.write( ".
\n" ); document.write( "Ed
\n" ); document.write( "
\n" );