The area of a square is given by the expression

$$
16x^2 + 40x + 25 ext{ square units}.
$$

Find the perimeter of the square.

Question

The area of a square is given by the expression

$$
16x^2 + 40x + 25 	ext{ square units}.
$$

Find the perimeter of the square.

Accepted Answer

#### Step 1: Use the area formula of a square

The area of a square is given by:

$$
	ext{Area} = (	ext{side})^2
$$

So, we have:

$$
(	ext{side})^2 = 16x^2 + 40x + 25
$$

We need to find the side by taking the square root of the expression.

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#### Step 2: Factor the expression

$$
16x^2 + 40x + 25 = (4x + 5)^2
$$

So, side of the square = $4x + 5$

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#### Step 3: Find the perimeter

$$
	ext{Perimeter} = 4 	imes 	ext{side} = 4 	imes (4x + 5) = 16x + 20
$$

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### **Final Answer:**

$$
\boxed{16x + 20} 	ext{ units}
$$

Answer

Answer

Answer