Question

The area of a square is 4x^2 + 24x + 36. What expression

represents the length of each side of the square

Answer 1

2x + 6

Explanation:

The area of a square is the square of the side length:

A = s²

We know that the area of the square is 4x² + 24x + 36.

4 is 2², and 36 is 6². 24 is double 2 times 6.

Therefore, this is a perfect square trinomial:

A = 4x² + 24x + 36

A = (2x + 6)²

Therefore:

s = 2x + 6