Question 1067041
Let the dimensions of a square be  x by x.  So if we increase the sides by 2. Then we have an x+2 by x+2. So the area of the square is {{{(x+2)^2}}}. Set that equal to 49.

{{{(x+2)^2 = 49}}}
Take the square root of both sides and get that the square root of 49 is 7 or -7. But remember we are talking about length, so -7 is not possible.

{{{x+2 = 7}}}


{{{highlight(x = 5)}}}