Question 675852
In a square, all sides are equal, therefore,
area = s^2
...
using given values
121 = s^2

solving for s
{{{sqrt(121) = sqrt(s^2)}}}
11 = s
...

applying pythagorean theorem
11^2 + 11^2 = c^2
121 + 121 = c^2
242 = c^2
{{{sqrt(242) = sqrt(c^2)}}}
c = {{{sqrt(242) = sqrt(121*2) = highlight_green(c=11sqrt(2))}}}
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