document.write( "Question 249790: A rectangle is five times as long as it is wide. If it were 24 cm shorter and 24 cm wider, it would be a square. What are its dimensions? \n" ); document.write( "

Algebra.Com's Answer #182267 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A rectangle is five times as long as it is wide.
\n" ); document.write( " If it were 24 cm shorter and 24 cm wider, it would be a square.
\n" ); document.write( " What are its dimensions?
\n" ); document.write( ":
\n" ); document.write( "Let x = original rectangle width
\n" ); document.write( "then
\n" ); document.write( "5x = original rectangle length
\n" ); document.write( ":
\n" ); document.write( "If it were square, the length and width would be equal, therefore
\n" ); document.write( "5x - 24 = x + 24
\n" ); document.write( "5x - x = 24 + 24
\n" ); document.write( "4x = 48
\n" ); document.write( "x = $\"48%2F4\"$
\n" ); document.write( "x = 12 is rectangle width
\n" ); document.write( "5(12) = 60 is rectangle length
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Is this true?
\n" ); document.write( "12 + 24 = 60 - 24
\n" ); document.write( "36 = 36 \n" ); document.write( "

\n" );