Mathematics, Statistics & Geometry

Area of Rectangle Calculator

Calculate the area, perimeter, and diagonal of a rectangle instantly. Get precise results with a full step-by-step mathematical breakdown.

Area
50
Perimeter30
Diagonal11.18
Calculation StepsWidth (w) = 10 Height (h) = 5 Area = w * h = 10 * 5 = 50.000000 Perimeter = 2(w + h) = 2(10 + 5) = 30.000000 Diagonal = √(w² + h²) = √(10² + 5²) = 11.180340

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The Essential Rectangle Tool

The Area of Rectangle calculator is the fundamental tool for measuring four-sided shapes with 90-degree corners. Whether you are flooring a room, sizing a website banner, or calculating land area, this calculator provides instant results for area, perimeter, and diagonal length.

A=w×h\begin{aligned} A = w \times h \end{aligned}

Where:
A=
The total surface space inside the rectangle
w=
The horizontal dimension of the rectangle
h=
The vertical dimension of the rectangle

Step-by-Step Calculation

  1. Measure the Width: The horizontal distance.
  2. Measure the Height: The vertical distance.
  3. Multiply: Width × Height = Area.
  4. Perimeter: 2 × (Width + Height).

Why the Diagonal Matters

The diagonal of a rectangle is the straight-line distance between opposite corners. In construction, measuring both diagonals and ensuring they are equal is the standard way to verify that a structure is "square" (has perfect 90-degree corners).

Practical Applications

  • Real Estate: Calculating the square footage of rooms and properties.
  • Printing: Determining the surface area of paper for ink estimation.
  • Screen Design: Sizing UI elements and calculating aspect ratios.
  • Shipping: Finding the surface area of boxes for labeling.

Frequently Asked Questions

Multiply the width by the height. The formula is A = w × h.

The perimeter is the distance around the edge, calculated as 2 × (width + height).

Use the Pythagorean theorem: d = √(w² + h²).

Yes. A square is a special type of rectangle where the width and height are equal.

Area is measured in square units, such as square meters (m²) or square inches (in²).