SOLUTION: The area of a square is numerically 3 less than the perimeter. Find the length of the side, if this length is greater than 1 unit.

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Question 184289: The area of a square is numerically 3 less than the perimeter. Find the length of the side, if this length is greater than 1 unit.
Found 2 solutions by rapaljer, ankor@dixie-net.com:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = side of the square.
x%5E2 = area of the square
4x = perimeter of the square

x%5E2+=+4x-3
x%5E2+-4x%2B3=0
%28x-3%29%28x-1%29=0
x=3 or x=1

The only answer that is greater than 1 is x= 3.

R^2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square is numerically 3 less than the perimeter.
Find the length of the side, if this length is greater than 1 unit.
:
Let s = length of a side
then
s^2 = area
;
s^2 = 4s - 3
:
s^2 - 4s + 3 = 0
Factor
(s-3)(s-1) = 0
Greater than 1 solution
s = 3 units
:
:
Check: 3^2 = 4(3) - 3