Question
The area of a square is 4x^2-4x+1, what is the perimeter of the square?
Answers
GPT 3.5
Let's start by finding the length of one side of the square. The area of the square is given by 4x^2-4x+1.
To find the length of one side, we take the square root of the area:
√(4x^2-4x+1)
= √[(2x-1)(2x-1)]
= 2x-1
Since a square has four equal sides, the perimeter of the square is given by:
P = 4(side length)
P = 4(2x-1)
P = 8x - 4
Therefore, the perimeter of the square is 8x - 4.
To find the length of one side, we take the square root of the area:
√(4x^2-4x+1)
= √[(2x-1)(2x-1)]
= 2x-1
Since a square has four equal sides, the perimeter of the square is given by:
P = 4(side length)
P = 4(2x-1)
P = 8x - 4
Therefore, the perimeter of the square is 8x - 4.