# CAT 2018 [SLOT 2] Quant Question with Solution 20

Question:
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?

1. s≥6
2. s≠6
3. s≤6
4. 5≤s≤7

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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 $sin\theta$ $\le$ 1, Hence, we can say that AD $\ge$ 6

$\Rightarrow$ s $\ge$ 6

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