Area of a General Quadrilateral A quadrilateral is a polygon with four sides and four angles. The area of a general quadrilateral is defined as the total are...
A quadrilateral is a polygon with four sides and four angles. The area of a general quadrilateral is defined as the total area of all its sides and angles. It is the amount of space inside the shape, regardless of its orientation.
Formula:
A = ½ * (a + b + c + d) * h
where:
A is the area of the quadrilateral in square units
a, b, c, and d are the lengths of the four sides of the quadrilateral in units
Examples:
The area of a rectangle with sides 5 cm and 10 cm is 25 cm².
The area of a square with side length 8 cm is 64 cm².
The area of a triangle with base 12 cm and height 6 cm is 72 cm².
Key Points:
The area of a quadrilateral is always greater than the area of any triangle with the same side lengths.
The area of a quadrilateral can be found by summing the areas of its four sides.
The area of a quadrilateral can also be found by using the formula above.
The area of a quadrilateral is a scalar quantity, meaning it has only magnitude and no direction