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Answer:
Step 1: Determine the side length of the square using the formula for the area of a square:
Area of a square = side length * side length
Given that the area of the square is 9x^2 + 30x + 25 square units, we can set this equal to the formula for the area:
9x^2 + 30x + 25 = side length * side length
Step 2: Factorize the quadratic equation 9x^2 + 30x + 25 to find the side length of the square:
9x^2 + 30x + 25 = (3x + 5)(3x + 5)
So, the side length of the square is 3x + 5 units.
Step 3: Calculate the perimeter of the square using the side length:
Perimeter of a square = 4 * side length
Perimeter of the square = 4 * (3x + 5)
Perimeter of the square = 12x + 20 units
Therefore, the perimeter of the square is 12x + 20 units.