A Square is a flat shape with 4 equal sides and every angle is a right angle (90°)
|means "right angle"|
|show equal sides|
|All sides are equal in length|
|Each internal angle is 90°|
|Opposite sides are parallel (so it is a Parallelogram).|
Play with a square:
The Area is the side length squared:
Area = a2 = a × a
Example: A square has a side length of 6 m, what is its Area?
Area = 6 m × 6 m = 36 m2
|The Area is also half of the diagonal squared:
Area = d2/2
The Perimeter is the distance around the edge.
The Perimeter is 4 times the side length:
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 side length times the square root of 2:
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)|