The area of a square is five more than it’s perimeter. Find the length of a side

Question

What is the answer

 

Answer 1

If S is the length of the square's side, the area is S*S and perimeter is 4*S. Since the area is 5 more than the perimeter:

S*S = 4S + 5

S² - 4S - 5 = 0

Factoring gives us (S-5)(S+1) = 0 with possible solutions of S=5 and S=-1. Since a square cannot have a side length less than zero, it's length is 5 units long.