document.write( "Question 978314: Thank you for answering my questions :) \r
\n" ); document.write( "\n" ); document.write( "The length of a rectangle is twice its width. If its length is decreased by 3m and its width is increased by 2m, the area of the resulting rectangle is 30m^2. Find the dimension.\r
\n" ); document.write( "\n" ); document.write( "In the previous it said its triangle but its rectangle... And i didnt notice it
\n" ); document.write( "Sorry for the typo error...
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #599751 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The length of a rectangle is twice its width.
\n" ); document.write( "Let width be \"x\"::
\n" ); document.write( "Then length is \"2x\"::
\n" ); document.write( "----------------------------------\r
\n" ); document.write( "\n" ); document.write( "If its length is decreased by 3m and its width is increased by 2m, the area of the resulting rectangle is 30m^2. Find the dimension.
\n" ); document.write( "------\r
\n" ); document.write( "\n" ); document.write( "New length:: 2x-3
\n" ); document.write( "New width:: x+2
\n" ); document.write( "------
\n" ); document.write( "Equation::
\n" ); document.write( "(2x-3)(x+2) = 30
\n" ); document.write( "2x^2 + x - 6 = 30
\n" ); document.write( "------
\n" ); document.write( "2x^2 + x - 36 = 0
\n" ); document.write( "------------
\n" ); document.write( "(x-4)(2x+9) = 0
\n" ); document.write( "----
\n" ); document.write( "Positive solution::
\n" ); document.write( "x = 4m (original width)
\n" ); document.write( "2x = 8m (original length)
\n" ); document.write( "----------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "----------------
\n" ); document.write( "
\n" ); document.write( "
\n" );