NUT ENGINEERING TOOLS

Rectangle / Square Solver

See It. Solve It. Understand It.

Solve rectangle and square dimensions, area, perimeter, and diagonal from the measurements you know.

Live Geometry
Length Width Diagonal Area
Diagram adjusts to the solved shape.
Enter What You Know

Select Rectangle or Square, then enter the measurements you know. Leave unknown values blank.

02

Calculated Results

Complete dimensions and geometry for the solved shape.

Length
Width
Area
Perimeter
Diagonal
Shape
03

Your Solution

Nut shows the equations and values used to solve the shape.

Enter known measurements and solve the shape to see the steps.

04

How It Works

Rectangle and square dimensions are related through area, perimeter, and the Pythagorean theorem.

A = L × W

Rectangle Area

Area equals length multiplied by width.

P = 2(L + W)

Rectangle Perimeter

Perimeter is the total distance around the rectangle.

d = √(L² + W²)

Rectangle Diagonal

The diagonal follows directly from the Pythagorean theorem.

A = s²

Square Area

All four sides of a square are equal.

P = 4s

Square Perimeter

Square perimeter equals four times the side length.

d = s√2

Square Diagonal

A square diagonal forms a 45-45-90 right triangle.

Back to Geometry & Trigonometry
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