Square and Rectangle Calculator

Calculator and formulas for calculating a square and a rectangle with the same area

Square and Rectangle Calculator


This calculator calculates the parameters of a square and a rectangle that both have the same area.

To calculate, enter a side length of the rectangle and one of the other parameters of the rectangle or square, then click the 'Calculate' button.


Calculate square and rectangle

 Input
Rectangle length
Decimal places
 Results
Area A
Rectangle length l
Rectangle height h
Rectangle perimeter
Square perimeter
Square side length a

Square - Rectangle

Square and rectangle formulas


Conversion square ⇔ Rectangle with the same area

Side length of the rectangle \(\displaystyle l = \frac{a^2}{h}\)
Height of the rectangle \(\displaystyle h = \frac{a^2}{l}\)
Side length of the square \(\displaystyle a = \sqrt{l · h}\)

Area of the rectangle \(\displaystyle A = l · h\)
Area of the square \(\displaystyle A = a^2\)
Rectangle perimeter \(\displaystyle P = 2 · l + 2 · h\)
Square perimeter \(\displaystyle P = 4 · a \)

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