<PRE><B>Question 1153831</B>
u, the size of uniform strip around the carpet


{{{(18-2u)(27-2u)=322}}} and the dimensions are  18-2u  and 27-2u.  


Note that you may want to look for the two factors of 322 which differ by 9.



Dimensions for the rug:
14 feet and 23 feet




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23 and 14 ?
{{{14=18-2u}}}
{{{14-18=-2u}}}

{{{18-14=2u}}}
{{{4=2u}}}
{{{u=2}}}

Otherwise,  {{{322=2*7*23=highlight(14)*highlight(23)}}}, the two factors of 322 and differ by 9.</PRE>