Question 658204
Let {{{ x }}} = the length of the 15' wide carpet
given:
{{{ x + 30 }}} = the width of the 9' wide carpet
Area for each is length x width, so
{{{ 15x = 9*( x + 30 ) }}}
{{{ 15x = 9x + 270 }}}
{{{ 6x = 270 }}}
{{{ x = 45 }}}
{{{ x + 30 = 75 }}}
The carpets are
15 x 45
and
9 x 75 
-------
check:
{{{ 15*45 = 675 }}}
{{{ 9*75 = 675 }}}
OK