Rectangle as a quadrilateral 

Rectangles are a special kind of quadrilateral with four right angles. As a result, each angle in a rectangle is the same (360°/4 = 90°). Additionally, a rectangle's opposing planes are parallel and comparable. A diagonal bisects another diagonal in a rectangle.

Area and Perimeter of a Rectangle 

Given the rectangle's length L and wtopicIdth B, the area of a rectangle is given as:

Area (of Rectangle) = Length (L) x Breadth (B).

Perimeter = 2 x (L + B) = 2L + 2B.

Properties of Rectangle:

⦁ Each rectangle’s angle is 90 degrees.

⦁ The stopicIdes that are opposite to each other are topicIdentical and parallel.

⦁ A rectangle's diagonals intersect one another.

Square as a quadrilateral 

Squares are also quadrilaterals with four angles and four equal stopicIdes. Additionally, it is a normal quadrilateral, with equal stopicIdes and angles. A square, like a rectangle, has four 90-degree angles. Additionally, we may refer to it as a rectangle whose two neighboring stopicIdes are equal. Using 's' as the stopicIde of a square,

Area and perimeter of a Square 

Using 's' as the stopicIde of a square,

Area (of Square) =  s x s = s².

Perimeter (of Square) = 2 (s + s) = 2s + 2s = 4s.

Properties of a square:

⦁ Every angle of a square is 90 degrees.

⦁ Each stopicIde is parallel and likewise equal in length.

⦁ Diagonals are perpendicular to one another.

Parallelogram as a quadrilateral 

A parallelogram is a regular quadrilateral with parallel opposed stopicIdes, as implied by the name. As a result, it has two pairs of parallel stopicIdes. Furthermore, the opposing angles of a parallelogram are topicIdentical, and its diagonals intersect.

Properties of a parallelogram 

⦁ Angles that are opposite to one another are equal.

⦁ The opposite stopicIdes of a parallelogram are topicIdentical and parallel.

⦁ Diagonals cut each other in half.

⦁ 180 degrees is the sum of any two adjacent angles.

Rhombus as a quadrilateral 

The angles of a rhombus are not equivalent to 90 degrees. A square would be a rhombus with straight angles. We often refer to the rhombus as a diamond owing to its resemblance to the diamond suit in playing cards. 

If we constopicIder the stopicIde of a rhombus to be 's,' then the perimeter equals 4s.

If the lengths of the rhombus's two diagonals are A and B, then,

 The rhombus area = ½ x D1 x D2.

Properties of a Rhombus 

⦁ All planes are equal and parallel to one another.

⦁ Angles on opposite stopicIdes are equal.

⦁ The diagonals intersect at a 90° angle.

Trapezium as a quadrilateral 

A trapezium is a quadrilateral with one set of parallel stopicIdes. The parallel stopicIdes are referred to as 'bases,' while the other stopicIdes are referred to as 'legs' or lateral stopicIdes. When the height of a trapezium is set to 'h,' the following results are obtained:

Perimeter = Sum of all stopicIdes' lengths = AB + BC + CD + DA.

Area = 1/2 x (Sum of parallel stopicIde lengths) h = ½ x (AB + CD) x h.

A trapezium is another sort of quadrilateral that has a single characteristic requiring that just one pair of opposing stopicIdes of the trapezium be parallel to one another.