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Question

Quantitative Aptitude Question on Quadrilaterals

A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true?

A

s≥6

B

s≠6

C

s≤6

D

5≤s≤7

Answer

s≥6

Explanation

Solution

The correct answer is (A):
We can see that area of parallelogram ABCD = 2×Area of triangle ACD
48 = 2×Area of triangle ACD
Area of triangle ACD = 24
(1/ 2) × CD × DA × sinADC = 24
AD × sinADC = 6
We know that sinθ≤1, Hence, we can say that AD≥6