Question 84411
Let s = side of the square
A = area
The problem states (dimensions in cm)
{{{(s - 2)^2 = A - 36}}}
{{{s^2 - 4s + 4 = A - 36}}}
About the original square, we know that
{{{A = s^2}}} , so
{{{s^2 - 4s + 4 = s^2 - 36}}}
subtract {{{s^2}}} from both sides
{{{-4s + 4 = -36}}}
{{{-4s = -40}}}
{{{s = 10}}}
check
does {{{A = s^2}}}?
{{{(s - 2)^2 = A - 36}}}
{{{(10 - 2)^2 = A - 36}}}
{{{64 = A - 36}}}
{{{A = 64 + 36}}}
{{{A = 100}}}
OK