document.write( "Question 464832: The area of the floor of the rectangular room shown in the figure is 243 square feet. The length of the room is 4 ½ feet longer than the width. What is the length of the room? \n" ); document.write( "

Algebra.Com's Answer #319367 by sofiyac(983) $\"\"$ $\"About$

You can put this solution on YOUR website!
so width is x, length is x+4.5
\n" ); document.write( "x(x+4.5)=243
\n" ); document.write( "x^2+4.5x-243=0
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-4.5+%2B-+sqrt%28+20.25%2B972+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%28-4.5+%2B-+sqrt%28+992.25+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%28-4.5+%2B-+31.5%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%28-4.5+%2B+31.5%29%2F%282%29+=+13.5\"$
\n" ); document.write( " $\"x+=+%28-4.5+-+31.5%29%2F%282%29+=+-18\"$
\n" ); document.write( "width cant be negative, so width is 13.5
\n" ); document.write( "then length would be 13.5+4.5=18 \n" ); document.write( "

\n" );