# What is the difference between a rhombus and a parallelogram?

**Solution:**

Parallelogram and Rhombus are four-sided polygons also known as quadrilaterals having four sides and four angles.

A parallelogram is a four-sided convex polygon with opposite sides parallel and equal with opposite angles being equal.

A rhombus is a special type of parallelogram where all the sides are equal in measure with opposite sides being parallel.

Let's tabulate the differences between a parallelogram and a rhombus as follows.

## Parallelogram |
## Rhombus |

In a parallelogram, opposite sides are equal in measure. | In a rhombus, all sides are equal in measure |

Diagonals bisect each other. | Diagonals bisect each other at 90 degrees. |

The perimeter of a parallelogram is equal to 2(a + b) where a and b are the side and the base respectively. |
The perimeter of a rhombus is equal to 4x where x is the measure of each side of a rhombus. |

The area of a parallelogram is given by b × h where b and h represent the base and the height respectively. | The area of a rhombus is given by d_{1}d_{2}/2 where d_{1} and d_{2} denote the length of the two diagonals. |

Every parallelogram is not a rhombus. | Every rhombus is a parallelogram. |

Below is the image shown for a parallelogram AB = CD, AD = CB |
Below is the image shown for a rhombus AB = BC = CD = AD |

Thus, a parallelogram has opposite sides equal, while in a rhombus all four sides are equal in measurement.

## What is the difference between a rhombus and a parallelogram?

**Summary:**

The difference between a parallelogram and a rhombus is that a parallelogram has opposite sides equal, while in a rhombus all four sides are equal in measurement.

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