document.write( "Question 83765: The length of a rectangular storage room is 6 feet longer than it's width. What are the dimensions of the room if the area of the room is 72 square feet? \n" ); document.write( "
Algebra.Com's Answer #60282 by ptaylor(2198)\"\" \"About 
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\n" ); document.write( "Let w=width\r
\n" ); document.write( "\n" ); document.write( "Then length=w+6\r
\n" ); document.write( "\n" ); document.write( "Now we know that the area (A) of a rectangle =l*w, so our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "72=(w+6)*w get rid of parens\r
\n" ); document.write( "\n" ); document.write( "72=w^2+6w subtract 72 from both sides\r
\n" ); document.write( "\n" ); document.write( "w^2+6w-72=0--------------quadratic in standard form and this quadratic can be factored. The factors are:\r
\n" ); document.write( "\n" ); document.write( "(w+12)(w-6)=0
\n" ); document.write( "(note: If the A coefficient of a quadratic is 1, then the B coefficient is the sum of the factors of the C coefficient. In this case(12)(-6)=-72 and 12-6=6) \r
\n" ); document.write( "\n" ); document.write( "w=-12--------discount negative value for length\r
\n" ); document.write( "\n" ); document.write( "w=6 ft--------------------------------width of room
\n" ); document.write( "w+6=6+6=12 ft--------------------------------length of room\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "6*12=72
\n" ); document.write( "72=72
\n" ); document.write( "also
\n" ); document.write( "12-6=6
\n" ); document.write( "6=6\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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