The question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct answer. Assertion (A) Reason (R) The area of a trapezium whose parallel sides measure 25cm and 15cm respectively and the distance between them is 6cm, is 120cm 2 . The area of an equilateral triangle of side 8cm is 16 3cm 2 .

Question

Philoid · Accepted Answer

Area of trapezium = 1/2 × (sum of parallel sides) × height = 1/2 × (25 + 15)×6 = 120cm²

∴ Area of trapezium = 120cm²

∴ Assertion is correct.

Area of an equilateral triangle is given by: × a² (here ‘a’ is length of the side)

∴ Area of an equilateral triangle with side length 8 cm = × 8² = 16

∴ Reason is correct

∴ Both Assertion but Reason are true and Reason is not a correct explanation of Assertion.

Assertion (A)	Reason (R)
The area of a trapezium whose parallel sides measure 25cm and 15cm respectively and the distance between them is 6cm, is 120cm².	The area of an equilateral triangle of side 8cm is 163cm².