document.write( "Question 980216: The dimensions of a rectangle are such that length is 9 inches more than width. If the length is doubled and the width decreased by 4 in. The are would be increased by 138 in ^. What are the length and width of the rectangle \n" ); document.write( "
Algebra.Com's Answer #601421 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
x=9+y for length with width y.
\n" ); document.write( "Area is \"%289%2By%29%2Ay=A\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "New rectangle,
\n" ); document.write( "\"2%289%2By%29%28y%2B4%29=%28A%2B138%29\"----OBVIOUS MISTAKE MADE HERE.
\n" ); document.write( "-
\n" ); document.write( "Simplify this new rectangle equation.
\n" ); document.write( "\"2%28y%2B9%29%28y%2B4%29=A%2B138\"
\n" ); document.write( "\"2%28y%5E2%2B13y%2B36%29-A-138=0\"
\n" ); document.write( "\"2y%5E2%2B26y%2B72-a-138=0\"
\n" ); document.write( "\"2y%5E2%2B26y-A-66=0\"
\n" ); document.write( "-
\n" ); document.write( "What to do next, is substitute for A using the original area equation.
\n" ); document.write( "\"2y%5E2%2B26y-%28y%5E2%2B9y%29-66=0\"
\n" ); document.write( "\"2y%5E2%2B26y-y%5E2-9y-66=0\"
\n" ); document.write( "\"y%5E2%2B17y-66=0\"
\n" ); document.write( "\"%28y-6%29%28y%2B11%29=0\"
\n" ); document.write( "-
\n" ); document.write( "The meaningful value for *y is \"highlight%28y=6%29\".
\n" ); document.write( "*\"x=y%2B9=6%2B9=highlight%2815=x%29\".
\n" ); document.write( "-
\n" ); document.write( "*Those are wrong, because of the noted OBVIOUS MISTAKE.
\n" ); document.write( "New rectangle width should be y-4, not y+4.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "DONE CORRECTLY, THIS IS HOW THE STEPS GO:
\n" ); document.write( "-
\n" ); document.write( "\"system%28x=y%2B9%2C+y%28y%2B9%29=A%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "NEW: \"2%28y%2B9%29%28y-4%29=A%2B138\"
\n" ); document.write( "\"2%28y%5E2%2B5y-36%29=A%2B138\"
\n" ); document.write( "\"2y%5E2%2B10y-72-138-A=0\"
\n" ); document.write( "\"2y%5E2%2B10y-y%5E2-9y-72-138=0\"
\n" ); document.write( "\"2y%5E2%2B10y-y%5E2-9y-210=0\"
\n" ); document.write( "\"y%5E2%2By-210=0\"
\n" ); document.write( "\"%28y-14%29%28y%2B15%29=0\"
\n" ); document.write( "-
\n" ); document.write( "\"highlight%28y=14%29\"
\n" ); document.write( "-
\n" ); document.write( "Returning to \"x=y%2B9\"
\n" ); document.write( "\"x=14%2B9\"
\n" ); document.write( "\"highlight%28x=23%29\"
\n" ); document.write( "
\n" );