Sam decides to build a square garden. If the area of the garden is 25x2 + 30x + 9 square feet, what is the length of one side of the garden?

5x + 3

Step-by-step explanation:

We factor 25x^2 + 3x + 9.

25x^2 is a perfect square; 25x^2 = (5x)^2

9 is a perfect square; 9 = 3^2

This expression may be a perfect square trinomial.

25x^2 + 30x + 9 = (5x + 3)^2

We check the middle term: 2ab = 2 * 5 * 3 = 30

The coefficient, 30, is correct, so we are dealing with a perfect square trinomial.

length = 5x + 3