Question 536603
The combined area is the sum of the areas.<P>

{{{A=s^2}}} for each one.<P>
Square 1: {{{A=(x/4)^2}}}<P>
Square 2: {{{A=((x-8)/4)^2}}}<P>
Combined Area:  {{{A=2=(x/4)^2+((x-8)/4)^2}}}=<P>
{{{(x^2/16)+(x^2-16x+64)/16=2}}}=<P>
{{{2x^2-16x+64=32}}}  (Added the fractions on the left, then multiplied both sides by 16.)<P>
Subtract 32 from each side.<P>
{{{x^2-16x+32=0}}}<P>
Factor with reverse FOIL.  You may recognize the factors just by looking it.<P>
{{{(x-4)(x-4)}}}<P>
{{{x-4=0}}} Add 4 to both sides.  {{{x=4}}}.<P>
The first piece is x and the second piece is 8-x. <P>
X=4 so both pieces are 4 inches.
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