<PRE><B>Question 1026696</B>
.
L=length; W=width
.
P=2(L+W)
22ft=2(L+W)
11ft=L+W
11ft-W=L
.
{{{A=LW}}}
{{{30ft^2=LW}}}
{{{30ft^2=(11ft-W)(W)}}}
{{{30=11W-W^2}}}
{{{W^2-11W+30=0}}}
{{{(W-5)(W-6)=0}}}
{{{W-5=0}}} {{{OR}}} {{{W-6=0}}}
{{{W=5}}} {{{OR}}} {{{W=6}}}
.
If width = 5 feet:
11 ft-W=L
11 ft-5 ft=L
6 ft=L
.
If width = 6 ft:
11 ft-W=L
11 ft-6 ft=L
5 ft=L
.
The dimensions of the rug are 5 feet by 6 feet.
(or 6 feet by 5 feet)</PRE>