Find the perimeter of a square or rectangle by adding side lengths. From LearnZillion; Created by Valerie Krauser; Standards 3.MD.D.8. Teaches Common Core. The perimeter of a square is given by the formula `4.l` where l is the length of a side. The perimeter of a square is the length of this square. The length calculator supports numeric but also literal expressions. Calculating perimeter of a square. The length calculator is able to calculate the perimeter of a square, the calculated length is.

Square Shape

a = side length
q = diagonal length
P = perimeter
A = area
√ = square root

Calculator Use

Use this square calculator to find the side length, diagonal length, perimeter or area of a geometric square. Given any 1 variable you can calculate the other 3 unknowns.

*Units: Note that units of length are shown for convenience. They do not affect the calculations. The units are in place to give an indication of the order of the calculated results such as ft, ft² or ft³. Any other base unit can be substituted.

Square Formulas:

A square is a convex quadrilateral with all sides equal length and positioned at right angles to each other. Or, a square is a regular polygon with four sides, a tetragon.

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Area of a square:

A = a²

Perimeter of a Square

P = 4a

Polygon diagonals of a square

q = √(2a²) = a√2

Side of a Square

a = √A
a = P/4
a = q / √2

Square Calculations

• Calculate q, P, A Given a
  Given the length of a side calculate the diagonal, area and perimeter
  
  • q = a√2
  • A = a²
  • P = 4a
• Calculate a, P, A Given q
  Given the diagonal length calculate the side length, perimeter and area
  • a = q / √2
  • P = 4a
  • A = a²
• Calculate a, q, A Given P
  Given the perimeter calculate the side length, diagonal and area
  • a = P/4
  • q = a√2
  • A = a²
• Calculate a, q, P Given A
  Given the area calculate the length of the sides, diagonal and the perimeter
  
  • a = √A
  • q = a√2
  • P = 4a

Cite this content, page or calculator as:

Furey, Edward 'Square Calculator'; CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

(Jump to Area of a Square or Perimeter of a Square)

A Square is a flat shape with 4 equal sides and every angle is a right angle (90°)

Play with a square:

A square also fits the definition of a rectangle (all angles are 90°), a rhombus (all sides are equal length), a parallelogram (opposite sides parallel and equal in length) and a regular polygon(all angles equal and all sides equal). What a hero!

Area of a Square

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

Area = 6 m × 6 m = 36 m²

Perimeter of a Square

The Perimeter is the distance around the edge.

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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.

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

Calculator

Enter the side length, area, diagonal or perimeter and the other values are calculated live.