Question 244962
area of a square is given by the equation:


A = s^2


where s is one side of the square, and A is the area.


The perimeter of a square is given by the equation:


P = 4*s


where s is one side of the square, and P is the perimeter.


If the area of the square is 5 more than the perimeter, this means that:


A = P + 5


which means that:


s^2 = 4*s + 5


subtract 4*s + 5 from both sides of the equation to get:


s^2 - 4*s - 5 = 0


this factors out to be:


(s-5) * (s+1) = 0


this makes:


s = 5 and s = -1


s is the side of the square and can't be negative, so s must equal 5.


each side of the square is equal to 5


the area of the square is 5 * 5 = 25


the perimeter of the square is 4 * 5 = 20


25 - 20 = 5 so the area of the square is 5 more than the perimeter of the square.