1. 

What is the area of the rectangle?

I. The ratio of the length and the breadth is 3: 2.

II.The area of the rectangle is 3.6 times its perimeter.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Answer: Option E

Explanation:

I. Let l = 3x metres and b = 2x meters.

Then, area = (6x2) m2

II. Perimeter = 2(3x + 2x) m = (10x) m.

∴ 6x2 = 3.6 x 10x

<=> x = 3.6 x 10/6 = 6.

l = 18 m and b = 12 m and so area can be obtained.

Thus, I and II together give the answer.

∴ Correct answer is (E).