Area and Perimeter of Quadrilaterals A quadrilateral is a flat shape with four sides and four angles. It is classified as a quadrilateral based on the number...
A quadrilateral is a flat shape with four sides and four angles. It is classified as a quadrilateral based on the number and arrangement of its sides and angles.
Area:
The area of a quadrilateral is the total area of its four sides.
It is measured in square units.
The area of a quadrilateral is equal to the length of one of its sides multiplied by the length of the other two sides.
Perimeter:
The perimeter of a quadrilateral is the total length of all its sides.
It is measured in units.
The perimeter of a quadrilateral is equal to the sum of the lengths of all its four sides.
Examples:
A rectangle with sides 5 cm and 6 cm has an area of 30 cm².
A square with side length 8 cm has an area of 64 cm².
A trapezium with bases 6 cm and 8 cm and height 4 cm has an area of 24 cm².
Key Points:
The area of a quadrilateral is always greater than the perimeter.
The perimeter of a quadrilateral is always greater than the length of one of its sides.
The area of a rectangle is equal to the square of its length, while the area of a square is equal to the square of its side length.
The perimeter of a square is equal to 4 times the length of one of its sides.
The perimeter of a trapezium is equal to the sum of the lengths of its two bases and the height