**Finding X in the given scenario**

To find the value of X in the given scenario, we need to analyze the information provided and apply relevant concepts of geometry.

**Given Information:**
- Manoj donates a part of the rectangle land RENT to the school for village children.
- The diagonal of the rectangle meets at point O.
- OR = 2x + 4
- OT = 3x + 1

**Understanding the Problem:**
We have a rectangle with one of its diagonals meeting at point O. We need to find the value of X, which is represented by the lengths OR and OT.

**Approach:**
To find X, we can use the properties of rectangles and the Pythagorean theorem.

**Properties of Rectangles:**
- In a rectangle, the diagonals are equal in length.
- The diagonals of a rectangle bisect each other, which means they divide each other into two equal parts.

**Using the Pythagorean Theorem:**
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

**Finding X:**
1. Since the rectangle's diagonals are equal in length, we can equate the expressions for the diagonals:
2x + 4 = 3x + 1

2. Simplifying the equation:
2x - 3x = 1 - 4
-x = -3
x = 3

Therefore, X = 3.

**Interpretation:**
The value of X represents the length of a segment in the rectangle land RENT that Manoj donates to the school for village children. By finding X, we can determine the length of this donated segment, which is 3 units.