Assertion (A) : The area of a trapezium whose parallel sides measure 25 cm and 15 cm respectively and the distance between them is 6 cm, is 120 `cm^(2)`
Reason (R )m : The area of an equilateral triangle of side 8 cm is `16sqrt3 cm^(2)`.

Options

A. Both Assertion (A) and Reason (R ) are true and Reason (R ) is a correct explansion of Assertion (A).
B. Both Assertion (A) and Reason (R ) are true but Reason (R ) is not a correct explansion of Assertion (A).
C. Assertion (A) is true and Reason (R ) is false.
D. Assertion (A) is false and Reason (R ) is true.

Answer

B

Explanation

Reason (R ): Let `triangleABC` be an equilateral triangle having each side 8 cm.
Let`AD bot BC`. Then, D is the midpoint of BC.
`AD^(2)=AB^(2)-BD^(2)=(8^(2)-4^(2))=(64-16)=48`
`rArr AD=sqrt(48)=sqrt(16xx3)=4sqrt(3) cm`.
`therefore ar(triangleABC)=((1)/(2)xx8xx4sqrt(3))cm^(2)=16sqrt3 cm^(2)`