document.write( "Question 119405This question is from textbook Mathematics concepts and skills practice workbook
\n" ); document.write( ": A rectangle has a perimeter of 78 inches. Its length is 6 inches more than twice its width.\r
\n" ); document.write( "\n" ); document.write( "a. make a sketch of the rectangle and label its sides
\n" ); document.write( "b. find the recangle's length and width.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I tried doing this but it gets me confused.
\n" ); document.write( "I did:\r
\n" ); document.write( "\n" ); document.write( "78=2w+6
\n" ); document.write( "72=2w\r
\n" ); document.write( "\n" ); document.write( "Then I'm just lost. If i continue, the perimeter doesnt add up. Please help!
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #87484 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A rectangle has a perimeter of 78 inches. Its length is 6 inches more than twice its width.
\n" ); document.write( "a. make a sketch of the rectangle and label its sides
\n" ); document.write( "b. find the recangle's length and width.\r
\n" ); document.write( "\n" ); document.write( "I tried doing this but it gets me confused.
\n" ); document.write( "I did:
\n" ); document.write( "78=2w+6
\n" ); document.write( "72=2w
\n" ); document.write( "Then I'm just lost. If i continue, the perimeter doesnt add up. Please help!
\n" ); document.write( ":
\n" ); document.write( "Let's start over:
\n" ); document.write( "Let x = width
\n" ); document.write( "It said the length is 6\" more the twice the width therefore:
\n" ); document.write( "(2x+6) = length
\n" ); document.write( ":
\n" ); document.write( "You know:
\n" ); document.write( "2L + 2W = 78
\n" ); document.write( "Substitute (2x+6) for L and x for W:
\n" ); document.write( "2(2x+6) + 2x = 78
\n" ); document.write( "4x + 12 + 2x = 78
\n" ); document.write( "6x = 78 - 12
\n" ); document.write( "6x = 66
\n" ); document.write( "x = 66/6
\n" ); document.write( "x = 11\" is the width
\n" ); document.write( "then
\n" ); document.write( "2(11) + 6 = 28\" is the length
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check our perimeter
\n" ); document.write( "2(28) + 2(11) =
\n" ); document.write( "56 + 22 = 78; confirms our solution
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "I think using x in these problems reduces the confusion factor, but you could
\n" ); document.write( "use w throughout if you prefer that\r
\n" ); document.write( "\n" ); document.write( ",
\n" ); document.write( "
\n" );