Question 200250
The area is 130 square meters. Not 130^2. Area is always in some sort of squared linear measure.
Now expand
{{{(n+5)(n+2)= 130}}}
{{{n^2 + 7n + 10 = 130}}}
{{{n^2 + 7n -120 = 0}}}
{{{(n+15)(n-8) = 0}}}
So the possible lengths are -15 and 8. Since a length can't be negative, the original field was 8 meters on each side.