Question

This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

$\begin{array}{cc}Assertion\left(A\right)& Reason\left(R\right)\\ \text{The area of a trapezium whose}& \text{The area of an equailateral traingle}\\ \text{parallel sides measure 25 cm and}& \text{of side 8 cm is}16\sqrt{3}c{m}^2.\\ \text{15 cm respectively and the distance}& \\ \text{between them is 6 cm,is}120c{m}^2.& \end{array}$

The correct answer is :(a)/(b)/(c)/(d).

Answer 1

ANSWER:
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not a correct explanation of Assertion (A).
Explanation:
Reason (R):
∴ ar(∆ABC ) = $\frac{\sqrt{3}}{4}\times (side{)}^2=\frac{\sqrt{3}}{4}\times 8\times 8=16\sqrt{3}c{m}^2$

Thus, reason (R) is true.
Assertion (A):
Area of trapezium = $\frac{1}{2}\times (25+15)\times 6=120c{m}^2$
Thus, assertion (A) is true, but reason (R) does not give assertion (A).