Question 244962: Word problem. "The area of a certain square is 5 more than its perimeter. What is the length of each side of the square." and if i could see the what the equation looks like to, that would be wonderful. Thanks!
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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