Question 1148928
x, the uniform border width

{{{8*6}}}, whole quilt area

{{{24}}}, inner rectangular area

{{{48-(8-2x)(6-2x)=24}}}---------solve for x.


{{{48-(8*6-12x-16x+4x^2)=24}}}

{{{48-(48-28x+4x^2)=24}}}

{{{48-48+28x-4x^2=24}}}

{{{28x-4x^2=24}}}

{{{7x-x^2=6}}}

{{{x^2-7x+6=0}}}

{{{(x-1)(x-6)=0}}}

{{{highlight(x=1)}}}