Name each of the following parallelograms.
The diagonals are equal and the adjacent sides are unequal .

Answer

To solve the question of naming the parallelogram where the diagonals are equal and the adjacent sides are unequal, we can follow these steps:

### Step 1: Understand the Properties of Parallelograms
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. The properties of parallelograms include:
- Opposite sides are equal.
- Opposite angles are equal.
- The diagonals bisect each other.

### Step 2: Identify the Given Conditions
We are given two specific conditions:
1. The diagonals are equal.
2. The adjacent sides are unequal.

### Step 3: Analyze the Conditions
From the properties of parallelograms:
- If the diagonals of a parallelogram are equal, it indicates that the shape is either a rectangle or a rhombus.
- However, in a rectangle, all adjacent sides are equal (which contradicts our condition of unequal adjacent sides).
- In a rhombus, all sides are equal, which also contradicts the condition of unequal adjacent sides.

### Step 4: Conclusion
The only type of parallelogram that meets the condition of having equal diagonals while having unequal adjacent sides is a **rectangle**.

### Final Answer
The parallelogram with equal diagonals and unequal adjacent sides is a **rectangle**.

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