Area of Quadrilaterals
The area of a quadrilateral is the surface enclosed by a four-sided figure, found using the formula matching its shape and given conditions.
Practice This ConceptMain explanation
Teacher explanation
Different quadrilaterals need different formulas. A rectangle uses length and breadth, a parallelogram uses base and height, a trapezium uses parallel sides and height, and a rhombus can use diagonals.
Example
A trapezium with parallel sides 12 cm and 8 cm and height 5 cm has area = 1/2 × (12 + 8) × 5 = 50 cm².
Simple analogy
Quadrilateral area depends on the family of the four-sided figure.
Common confusion
Students often use slant side instead of perpendicular height for a parallelogram or trapezium.
Exam tip
First identify the quadrilateral type and the required perpendicular height or diagonals.
Answer writing and exam use
1-mark use
Write the exact meaning of area of quadrilaterals in one clean line.
2-mark use
Define area of quadrilaterals and add one example or condition.
3-mark use
Explain area of quadrilaterals, show the method or example, and mention the common mistake.
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