# Kite

*(Jump to Area of a Kite or Perimeter of a Kite) *

A Kite is a flat shape with straight sides.

It has two pairs of equal-length adjacent (next to each other) sides.

It often looks likea kite! |

Two pairs of sides | |

Each pairĀ is two equal-length sides that are adjacent (they meet) | |

The angles are equal where the two pairs meet | |

Diagonals (dashed lines) cross at right angles, and one of the diagonals bisects (cuts equally in half) the other |

Play with a Kite:

## Area of a Kite

#### Method 1:

Multiply the lengths of the diagonals and then divide by 2 to find the Area: Area = \frac{p × q}{2} |

### Example: A kite has diagonals of 3 cm and 5 cm, what is its Area?

Area = \frac{3 cm × 5 cm}{2} = **7.5 cm ^{2}**

#### Method 2:

Multiply the lengths of two unequal sides by the sine of the angle between them: Area = a × b × sin(C) |

### Example: You don't want to get wet measuring the diagonals of a kite-shaped swimming pool. So you measure unequal side lengths of **5.0 m** and **6.5 m** with an angle between them of **60°**. What is its Area?

Area | = a × b × sin(C) | |

= 5.0 × 6.5 × sin(60°) | ||

= 5.0 × 6.5 × 0.866... | ||

= 28.1 m (to 1 decimal)^{2} |

#### Method 3:

If you can draw your Kite, try the Area of Polygon by Drawing tool.

## Perimeter of a Kite

The Perimeter is the distance around the edges.

The Perimeter is Perimeter = 2(a + b) |

### Example: A kite has side lengths of 12 m and 10m, what is its Perimeter?

Perimeter = 2 × (12 m + 10 m) = 2 × 22 m = **44 m**

## Rhombus and Square

When all sides have equal length the Kite will also be a Rhombus.

When all the angles are also 90° the Kite will be a Square.

A Square is a Kite? Yes! So it doesn't *always* look like the kite you fly.

**A Dart**

## Dart

A concave Kite is called a **Dart**