Question 1137363
Room area, 23*32
Rug area, (23-2x)(32-2x)
Uniform strip around rug, x
Rug area value will be 442 square feet.


{{{highlight((23-2x)(32-2x)=442)}}}-------


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Algebra steps lead to {{{2x^2-55x+147=0}}}.

.
discriminant is  {{{43^2}}}.


{{{x=(55+- 43)/4}}}


{{{x=(55-43)/4}}}

{{{highlight_green(x=3)}}}--------the uniform width between walls and rug


Rug Dimensions:
17 feet and 26 feet