Question 184114
Let the original field's sides be x.
The new field has length (x+5) and width (x+2)
Area of a rectangle is given as {{{A = L*W}}}
{{{130 = (x+5)(x+2)}}}
{{{130 = x^2 + 7x + 10}}}
{{{0 = x^2 + 7x - 120}}}
Use quadratic equation to solve 
*[invoke quadratic "x", 1, 7, -120]

or factor as 
{{{0 = (x-8)(x+15)}}}
Either way, the possible original sides are 8 or -15. Since the original field cannot have a negative length side, the answer must be 8meters on each side