Question 163887
Let {{{x}}}= the side of the original square in cm
The problem says
{{{(x + 6)*(x + 6) = 169}}} cm2
or
{{{(x + 6)^2 = 169}}}
Take the square root of both sides
{{{x + 6 = 13}}}
{{{x = 7}}}
The side of the original square is 7 cm
check:
{{{(x + 6)*(x + 6) = 169}}} cm2
{{{(7 + 6)*(7 + 6) = 169}}} cm2
{{{13*13 = 169}}}
{{{169 = 169}}}
OK