## Rectangle Definition, Properties, Area, and Perimeter.

## Definition of Rectangle

A rectangle is a closed two-dimensional quadrilateral with 4 sides, 4 corners, and four angles each angle measures 90 degrees.

## Properties of Rectangle

- A rectangle is a closed two-dimensional quadrilateral.
- A rectangle has four sides. Two sides are called length and two sides are called width. One pair of sides are always longer than the other pair.
- The opposite sides of a rectangle are parallel and equal to each other.
- It has four corners.
- It has four right angles each angle measures 90 degrees.
- The sum of internal angles is the addition of four sides which is always 360 degrees.
- A rectangle has two diagonals that are equal in length and bisect each other.

## Area of Rectangle

The area of a rectangle is calculated by multiplying its length by its width.

## Area of rectangle = Length x Width.

Let’s understand this by an example

Q1. The length of a rectangle is 6 cm and the width is 4 cm, find out the area of a rectangle.

Area = length x width

Area = 6 x 4

Area = 24 Square Centimetres

So, the area of the rectangle is 24 square centimeters.

## Perimeter of Rectangle

The perimeter of a rectangle is calculated by adding all four sides' lengths.

## Perimeter = A + B + C + D

Let’s understand this by an example

Q1. The length of a rectangle is 6 cm and the width is 4 cm, find out the perimeter of a rectangle.

Perimeter = A + B + C + D

Perimeter = 6 + 4 + 6 + 4

Perimeter = 20 centimetres

So, the perimeter of the rectangle is 20 centimetres.

Now, solve this using formula 2 (length + Width)

## Perimeter = 2 (length + Width)

Q1. The length of a rectangle is 6 cm and the width is 4 cm, find out the perimeter of a rectangle.

Perimeter = 2 (6 + 4)

Perimeter = 2 (10)

Perimeter = 20 centimeters

So, the perimeter of the rectangle is 20 cm.

## Rectangle Diagonals

A rectangle has two diagonals and each of the diagonals divides the rectangle into two right-angled triangles.

## Rectangle Problem Sums

**1. A rectangular garden has a length of 8 meters and a width of 5 meters. What is the area of the garden?**

Area = Length x Width

Area = 8 x 5

Area = 40 sq meters

The area of the rectangular garden is 40 Square meters.

**2. If the length of a rectangle is 12 inches and the width is 6 inches, what is its perimeter?**

Perimeter = 2 (length + width)

Perimeter = 2 (12 + 6)

Perimeter = 2 x 18

Perimeter = 36 inches

The perimeter of a rectangle is 36 inches.

**3. The dimensions of a rectangle are 9 feet by 4 feet. Calculate its area.**

Area = Lenght x Width

Area = 9 x 4

Area = 36 sq feet

The area of the rectangle is 36 Square feet.

**4. What is the perimeter of a rectangular swimming pool with a length of 20 meters and a width of 8 meters?**

Perimeter = 2 (length + width)

Perimeter = 2 (20 + 8)

Perimeter = 2 x 28

Perimeter = 56 meters

The perimeter of a rectangular swimming pool is 56 meters.

**5. The length of a rectangle is 15 centimetres, and the width is 7 centimetres. Find its area.**

Area = Lenght x Width

Area = 15 x 7

Area = 105 sq centimeters

The area of the rectangle is 105 Square centimetres.

**6. A rectangular field is 60 yards long and 40 yards wide. What is its perimeter?**

Perimeter = 2 (length + width)

Perimeter = 2 (60 + 40)

Perimeter = 2 x 100

Perimeter = 200 yards

The perimeter of a rectangular field is 200 yards.

## Rectangular Shapes

## Rectangle Video

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