SOLUTION: A square field had 5 meters added to its length and 2 meters added to its width. The field then had an area of 130 meters squared. Find the length of a side of the original field

Algebra ->  Equations -> SOLUTION: A square field had 5 meters added to its length and 2 meters added to its width. The field then had an area of 130 meters squared. Find the length of a side of the original field      Log On


   



Question 200250: A square field had 5 meters added to its length and 2 meters added to its width. The field then had an area of 130 meters squared. Find the length of a side of the original field.
The equation I came up with is n+5(n+2)= 130^2. At which point I am unfamiliar with how to solve this.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The area is 130 square meters. Not 130^2. Area is always in some sort of squared linear measure.
Now expand
%28n%2B5%29%28n%2B2%29=+130
n%5E2+%2B+7n+%2B+10+=+130
n%5E2+%2B+7n+-120+=+0
%28n%2B15%29%28n-8%29+=+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.