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Squaring of Circle | Ellipse | Rectangle | Polygon || Square Multiplication

Cubing of Sphere | Ellipsoid | Cuboid || Cube Multiplication


Squaring the Rectangle - Calculator

Calculator for the edge lengths of a square and of a rectangle, if both have the same area. Please enter either the edge length of the square and one value of the rectangle, or both values of the rectangle. The other values will be calculated.

SquareRectangle
Edge length:
Length:
Width:
Diagonal:
Perimeter:
Area:

Round to    decimal places.


The unit is the same for lengths, width and perimeter. The area has this unit squared. For example, length in centimeters, area in square centimeters. The area of ​​a rectangle is calculated as length times width. A square is a special type of rectangle where the length and width are equal. Therefore, the area of ​​a square is length times length, or length to the power of two, or length squared. The perimeter of a rectangle is twice the length plus twice the width. For a square, the perimeter is four times the edge length. The diagonal is the straight line between two opposite vertices. Its length is calculated using the Pythagorean theorem. The diagonal of a rectangle is always longer than that of a square with the same area.


Square and rectangle with the same area

Example: square and rectangle with the same area. The square has an edge length of 150 pixels, the rectangle has 300 to 75 pixels, so it is twice as long and half as wide. There are a total of 22500 pixels for each. A pixel is already a unit of area, so it is not squared.

A rectangle with the same area and any desired side ratio can be constructed from a square using only a compass and straightedge, as long as the side ratio is expressed as a constructible length. Constructible lengths are those that can be expressed either as a rational number, as a square root, or as a finite chain of square roots. Lengths based on transcendental numbers like pi (π), as well as cube roots and roots that cannot be reduced to square roots, are not constructible.


Last updated on 01/22/2026.

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