Rectangle Calculator

Calculate area, perimeter, and diagonal length of rectangles and squares.

Inputs

m
cm

About Rectangles

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°).

Formulas Used

  • Area: A = l × w
  • Perimeter: P = 2(l + w)
  • Diagonal: d = √(l² + w²) (Pythagorean theorem)

Results

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How Rectangle Calculator Works

Area = length × width, Perimeter = 2(length + width)

Calculate rectangle properties from length and width measurements, including area, perimeter, and diagonal length using the Pythagorean theorem.

  1. 1

    Step 1

    Enter the length of the rectangle (the longer side)

  2. 2

    Step 2

    Enter the width of the rectangle (the shorter side)

  3. 3

    Step 3

    The calculator computes the area by multiplying length by width

  4. 4

    Step 4

    The perimeter is calculated by summing all four sides

  5. 5

    Step 5

    The diagonal is calculated using the Pythagorean theorem

Use Cases

Calculating room area for flooring

Measuring garden or yard dimensions

Construction and home improvement projects

Packaging and material calculations

Tips

  • 1

    A square is a special case of a rectangle where length equals width

  • 2

    The diagonal divides the rectangle into two congruent right triangles

  • 3

    Area is measured in square units (square meters, square feet)

  • 4

    The two diagonals in a rectangle are equal and bisect each other

  • 5

    Perimeter is the total distance around the rectangle

Common Mistakes

  • Confusing area and perimeter in practical applications

  • Forgetting to multiply the sum by 2 when calculating perimeter

  • Using different units for length and width without conversion

  • Confusing length and width in calculations

Frequently Asked Questions

What is the difference between a rectangle and a square?
A square is a rectangle with all sides equal. In a regular rectangle, only opposite sides are equal.
How do I calculate the diagonal of a rectangle?
Diagonal = sqrt(length squared + width squared). We use the Pythagorean theorem because the diagonal forms the hypotenuse of a right triangle with length and width.
Can I calculate dimensions from area and perimeter?
Yes, if you know both area and perimeter, you can solve two equations to get the length and width.
What are the properties of a rectangle's diagonals?
The two diagonals of a rectangle are equal in length and intersect at their midpoints, but they are not perpendicular (except in a square).
How do I convert between square meters and square feet?
1 square meter = 10.764 square feet. Multiply square meters by 10.764 to convert to square feet.

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