A square poster has an area measure of 324x^2 + 540x + 225 square units. Determine the side length of the poster.

Given the area, we need to find the side length. Let's start with the area equation for a square, where is the side length and is the area.

Substitute in the known value.

Now we need to factor the trinomial. The trinomial given for the area is a perfect square trinomial since () and () are both perfect squares.

We also know that , which we can use to factor.

Now, take the square root of both sides to fully isolate .

Keep in mind that the square root of any value squared is the original value.

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