Calculate x from a Square with Area 36: Solve for x > 0

To solve this problem, follow these steps:

• Step 1: Set up the equation based on the given information. The side of the square is given by $x + 1$, and the area formula for a square is $(\text{side})^2$. Thus, we set up the equation as $(x + 1)^2 = 36$.
• Step 2: Solve for $x$. Take the square root of both sides of the equation:

$(x + 1) = \pm \sqrt{36}$
$(x + 1) = \pm 6$

• Since $x > 0$ is a condition, only the positive value of $x + 1$ is valid, so $x + 1 = 6$.
• Solve for $x$ by subtracting 1 from both sides:

$x = 6 - 1$
$x = 5$

Therefore, the solution to the problem is $x = 5$.