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The lengths of a pair of parallel sides of a trapezium are respectively 18 cm and 15 cm and the perpendicular distance between these two sides is 12 cm. What is the area (in cm2) of the trapezium?

The lengths of a pair of parallel sides of a trapezium are respectively 18 cm and 15 cm and the perpendicular distance between these two sides is 12 cm. What is the area (in cm2) of the trapezium? Correct Answer 198

Given:

The lengths of a pair of parallel sides of a trapezium = 18 cm and 15 cm

The perpendicular distance between these two sides = 12 cm

Formula used:

Area of trapezium = 1/2 × sum of its parallel sides × perpendicular distance between parallel sides

Calculation:

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According to the question

Area of trapezium = 1/2 × sum of its parallel sides × perpendicular distance between parallel sides

⇒ 1/2 × (18 + 15) × 12 cm2

⇒ (1/2 × 33 × 12) cm2

⇒ (33 × 6) cm2

⇒ 198 cm2

∴ The area of the trapezium is 198 cm2

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