Question 1112707
If x is the uniform width between rug and walls, then rug area is  {{{(8-2x)(19-2x)=102}}}.  Simplify and solve quadratic equation and evaluate the rug dimensions.

.

.
{{{2x^2-27x+25=0}}}

Discriminant is  {{{23^2}}}.


{{{x=(27+- 23)/4}}}------The MINUS form will make sense, but the PLUS form will not.


{{{highlight(x=1)}}}
--
Rug dimensions are  {{{8-2*1=highlight(6)}}} and {{{19-2*1=highlight(17)}}}.