Which of the following quadrilaterals does not have any difference in measurement between its length and breadth?

Options

A. Square
B. Rectangle
C. Trapezium
D. Both (A) and (B)

Answer

To solve the question, "Which of the following quadrilaterals does not have any difference in measurement between its length and breadth?" we need to analyze the properties of different quadrilaterals.

### Step-by-Step Solution:

1. **Understanding Quadrilaterals**:
- A quadrilateral is a polygon with four sides. Common types of quadrilaterals include squares, rectangles, rhombuses, and trapezoids.

2. **Identifying Length and Breadth**:
- In geometry, "length" typically refers to the longer side of a rectangle, while "breadth" refers to the shorter side. For a shape to have no difference between length and breadth, both measurements must be equal.

3. **Analyzing Different Quadrilaterals**:
- **Square**: All four sides are equal, and all angles are 90 degrees. Here, length = breadth.
- **Rectangle**: Opposite sides are equal. Length and breadth can be different (length > breadth).
- **Rhombus**: All four sides are equal, but angles are not necessarily 90 degrees. Here, length = breadth if it is a square.
- **Trapezoid**: Only one pair of opposite sides is parallel. Length and breadth can vary.

4. **Conclusion**:
- The only quadrilateral where there is no difference between length and breadth is a **Square**. In a square, both measurements are equal.

### Final Answer:
The quadrilateral that does not have any difference in measurement between its length and breadth is a **Square**.