Atul is playing in a playground which is of the form of a parallelogram. He observes that the diagonals of the playground are 80 m and 60 m long. So, the playground can be the shape of ____

Options

A. Rectangle
B. Rhombus
C. Kite
D. Square

Answer

To determine the shape of the playground that Atul is playing in, we need to analyze the properties of the diagonals of a parallelogram.

### Step-by-Step Solution:

1. **Understanding the Properties of Diagonals in Parallelograms**:
- In a parallelogram, the diagonals bisect each other but are not necessarily equal in length.

2. **Given Information**:
- The lengths of the diagonals are 80 m and 60 m.

3. **Identifying the Possible Shapes**:
- The question states that the playground is in the form of a parallelogram. The common types of parallelograms are rectangles, rhombuses, and squares.
- In rectangles and squares, the diagonals are equal. Since the diagonals here are 80 m and 60 m (which are not equal), the playground cannot be a rectangle or a square.

4. **Considering Rhombus and Kite**:
- A rhombus is a type of parallelogram where the diagonals are not equal but they bisect each other at right angles.
- A kite is not a parallelogram, so it cannot be considered in this case.

5. **Conclusion**:
- Since the only remaining option that fits the description of having unequal diagonals while still being a parallelogram is a rhombus, we conclude that the shape of the playground must be a rhombus.

### Final Answer:
The playground can be the shape of a **rhombus**.