document.write( "Question 315712: How do I work this equation?\r
\n" ); document.write( "\n" ); document.write( "2. Suppose that the length of a rectangle is three cm longer than twice the width and that the perimeter of the rectangle is 90 cm.
\n" ); document.write( "a) Set up an equation for the perimeter involving only W, the width of the rectangle.
\n" ); document.write( "Answer:
\n" ); document.write( "b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.
\n" ); document.write( " Answer: Length ______, Width ______
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #225877 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
The length, L, can be expressed in terms of the width, W, thus:
\n" ); document.write( "1) L = 2W+3 \"...the length ...is 3cm longer than twice the width...\"
\n" ); document.write( "The perimeter of a rectangle is given by:
\n" ); document.write( "2) P = 2L+2W
\n" ); document.write( "a) Substitute equation 1) for L in equation 2)
\n" ); document.write( "2(2W+3)+2W = P Simplify.
\n" ); document.write( "4W+6+2W = P
\n" ); document.write( "6W+6 = P or \"highlight%28P+=+6W%2B6%29\"
\n" ); document.write( "b) Substitute P = 90 and solve for W.
\n" ); document.write( "6W+6 = 90 Subtract 6 from both sides.
\n" ); document.write( "6W = 84 Divide both sides by 6.
\n" ); document.write( "W = 14 and...
\n" ); document.write( "L = 2W+3
\n" ); document.write( "L = 2(14)+3
\n" ); document.write( "L = 31
\n" ); document.write( "Length = 31cm.
\n" ); document.write( "Width = 14cm.
\n" ); document.write( "
\n" );