Given a square with side lengths represented by the function f(x) = 2x + 5, find the area of the square.
2x^2 + 10x + 25
4x^2 + 20x + 25
4x^2 + 20x + 10
2x^2 + 5x + 10
To find the area of a square, we need to square the length of one side. In this case, the side length is given by the function f(x) = 2x + 5.
To square the length, we need to multiply it by itself: (2x + 5) * (2x + 5).
Using the FOIL method (First, Outer, Inner, Last), we can expand the expression:
(2x * 2x) + (2x * 5) + (5 * 2x) + (5 * 5)
= 4x^2 + 10x + 10x + 25
= 4x^2 + 20x + 25
Therefore, the area of the square is represented by the expression 4x^2 + 20x + 25.