Quadrilaterals are the four-sided polygons. By this, it means that the no. of sides, vertices and angles they have is four each. In Quadrilaterals, the internal angles total up to 360^{0} There are 7 types of different Quadrilateral.

## Quadrilateral Formulas for different quadrilateral types.

Quadrilateral Type |
Quadrilateral Formula |

Square | Area of Square= p×p, p is side. |

Rectangle | Area of Rectangle = l×b |

Rhombus | Area of rhombus= b×h
Area of rhombus= \(\frac{d1 x d2}{2}\), d1 and d2 are diagonals. |

Parallelogram | Area of parallelogram= b×h |

Trapezium | Area of Trapezium= \(\frac{[(a+b)h]}{2}\) |

Isosceles Trapezium | Area of Trapezium= \(\frac{[(a+b)h]}{2}\) |

Kite | \(\frac{d1 x d2}{2}\), d1 and d2 are diagonals. |

### Solved Examples of Formulas of Quadrilateral

Q: The area of a rhombus is 36 and the height is 6. Find the base.

Sol: Given, area=36, and h=6

To find: base b

Formula: b×h

Area of rhombus=b×h

36 =b(6)

b=36 / 6 = 6