document.write( "Question 227778: The perimeter of a rectangle is 106 inches. The length exceeds the width by 45 inches. Find the length and the width.
\n" ); document.write( "The length is ____ inches.
\n" ); document.write( "(Type an integer or a decimal)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #169224 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The perimeter of a rectangle is 106 inches. The length exceeds the width by 45 inches. Find the length and the width.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The length is 49 inches.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(Type an integer or a decimal)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. The perimeter P means adding up all the four sides of a rectangle.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Let w be the width.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Let w+45 be the length\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. Then, P=w+w+w+45+w+45=106.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 5. Solving yields the following steps\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4w%2B90=106\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Subtract 90 form both sides of the equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4w%2B90-90=106-90\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4w=16\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide by 4 to both sides of the equation.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4w%2F4=16%2F4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"w=4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For \"w=4\" , then \"w%2B4=49\" and check \"P=2%284%2B49%29=106\" which is a true statement.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The length is 49 inches.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );