Rectangle Definition Properties Area and Perimeter

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.

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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.

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Length (in cm):

Width (in cm):

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)

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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.

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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.

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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.

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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.

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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.

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Rectangular Shapes

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Rectangle Video

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Rectangle Definition Properties Area and Perimeter