document.write( "Question 658204: A roll of carpet 9 ft wide is 30 ft longer than a roll of carpet 15 ft wide. Both rolls have the same area. Make a sketch of the unrolled carpets and find the dimensions of each. \n" ); document.write( "

Algebra.Com's Answer #410225 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the length of the 15' wide carpet
\n" ); document.write( "given:
\n" ); document.write( " $\"+x+%2B+30+\"$ = the width of the 9' wide carpet
\n" ); document.write( "Area for each is length x width, so
\n" ); document.write( " $\"+15x+=+9%2A%28+x+%2B+30+%29+\"$
\n" ); document.write( " $\"+15x+=+9x+%2B+270+\"$
\n" ); document.write( " $\"+6x+=+270+\"$
\n" ); document.write( " $\"+x+=+45+\"$
\n" ); document.write( " $\"+x+%2B+30+=+75+\"$
\n" ); document.write( "The carpets are
\n" ); document.write( "15 x 45
\n" ); document.write( "and
\n" ); document.write( "9 x 75
\n" ); document.write( "-------
\n" ); document.write( "check:
\n" ); document.write( " $\"+15%2A45+=+675+\"$
\n" ); document.write( " $\"+9%2A75+=+675+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );