# Square Calculator and Solver

An online calculator to calculate the diagonal, perimeter and area of a square given its side x as shown below. The length L of the diagonal, perimeter P and area A are given in terms of x by the formulas:

length of diagonal:   L = √ (x 2 + x 2) = x √2

Perimeter:   P = 4 × x

Area:   A = x2

The above formulas may also be used to calculate any three of the above quantities given the fourth one as is shown below.

## Calculate the Diagonal, Perimeter and Area Given the Side

Enter the side x and press "calculate". The outputs are the length of the diagonal L, the perimeter P and the area A.

x =

L =

P =

A =

## Calculate the Side, the Diagonal and Perimeter Given the Area

Given the area A of the square, its side x is given by

Side:   x = √A

Then the diagonal and perimeter are given by the same formulas above.
Enter the area A and press "calculate". The outputs are the side x, length of the diagonal L and the perimeter P.

A =

x =

L =

P =

## Calculate the Side, the Diagonal and Area Given the Perimeter P

Given the perimeter P of the square, its side x is given by

Side:   x = P / 4

Then the diagonal and area are given by the same formulas above.
Enter the perimeter P and press "calculate". The outputs are the side x, length of the diagonal L and the area A.

P =

x =

L =

A =

## Calculate the Side, the Perimeter and Area Given the Length L of the Diagonal

Given the length L of the diagonal of the square, its side x is given by

Side:   x = L / √2

Then the area and perimeter are given by the same formulas above.
Enter the length L of the diagonal and press "calculate". The outputs are the side x, the perimeter P and the area A.

L =

x =

P =

A =

## More References and Links

Geometry Problems on Squares
Rectangle Perimeter and Diagonal Calculator
Online Geometry Calculators and Solvers.
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