Rectangle - Definition with Examples

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What is Rectangle?

A rectangle is a 2D shape in geometry, having 4 sides and 4 corners. Its two sides meet at right angles. Thus, a rectangle has 4 angles, each measuring 90 ĚŠ. The opposite sides of a rectangle have the same lengths and are parallel.  Two sides are said to be parallel, when the distance between them remains the same at all points.

rectangle

 

Other names of the rectangle

  • Since all the angles of a rectangle are equal, we also call it an equiangular quadrilateral.

  • Since it has parallel sides, we can also call it a parallelogram. A parallelogram is a quadrilateral whose opposite sides are equal and parallel.

 

Equiangular Quadrilateral

equiangular quadrilateral

Parallelogram

 parallelogram

 

Properties of a rectangle:

  • It is a flat shape

  • It has 4 sides (edges)

  • It has 4 corners (vertices)

  • It has 4 right angles

 

Area of a rectangle: 

The area of a rectangle is the product of its two adjacent sides 

area of a rectangle

Area of a rectangle = Length × Width

 

Perimeter:  

The perimeter of a rectangle is the sum of the length of its four sides.  Since parallel sides of a rectangle have the same length, the formula for the perimeter of a rectangle is

Perimeter of a rectangle = Length + Width + Length + Width

                                                  2 length + 2Width

                                                  2 (length + Width)

 

Diagonals of a rectangle:

The line segments that join the opposite corners of a rectangle are called its diagonals.  In the given figure, the two diagonals of the rectangle are AC and BD. The diagonals of a rectangle are the same in length.  Therefore, AC = BD

diagonals of a rectangle

 

Rectangle being the most common shape forms a part of our day to day life.  Some real-life examples of the rectangle are table tops, books, mobile phones, TV, etc.

real life example of rectangle

  Fun Facts

  • All rectangles are parallelograms, but all parallelograms are not rectangles
  • The diagonals of a rectangle divide the rectangle into four triangles

  • Every square is a rectangle, but every rectangle is not a square

 

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