# Square (Geometry)

*(Jump to Area of a Square or Perimeter of a Square)
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A Square is a flat shape with 4 equal sides and every angle is a right angle (90°)

means "right angle" |
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show equal sides |
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All sides are equal in length | |

Each internal angle is 90° | |

Opposite sides are parallel (so it is a Parallelogram). |

Play with a square:

A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).

## Area of a Square

The Area is the Area = a |

### Example: A square has a side length of 6 m, what is its Area?

Area = 6 m × 6 m = **36 m ^{2}**

The Area is also half of the diagonal squared:
Area = \frac{d^{2}}{2} |

## Perimeter of a Square

The Perimeter is the distance around the edge.

The Perimeter is Perimeter = 4a |

### Example: A square has a side length of 12 cm, what is its Perimeter?

Perimeter = 4 × 12 cm = **48 cm**

## Diagonals of a Square

A square has two diagonals, they are equal in length and intersect in the middle.

The Diagonal is the Diagonal "d" = a × √2 |

### Example: A square has a side length of 5 m, what is the length of a diagonal?

Diagonal Length = a × √2

= 5 × 1.41421...

=

**7.071 m**(to 3 decimals)