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