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Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the area of a circle circumscribed around a rectangle? Statement I: The area of the rectangle is 72 square meter. Statement II: The perimeter of the rectangle is 34 meter.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the area of a circle circumscribed around a rectangle? Statement I: The area of the rectangle is 72 square meter. Statement II: The perimeter of the rectangle is 34 meter. Correct Answer Statement I and II together are required to answer the question.

We need to get the radius of the circumscribed circle which will be equal to half of the diagonal of the rectangle.

Statement I: The area of the rectangle is 72 square meter.

⇒ = 72

Statement II: The perimeter of the rectangle is 34 meter.

⇒ = 17

Now we can get the values of length and breadth and thus the diagonal of the rectangle.

⇒ x2 - 17x + 72 = 0

We get values as 9 and 8.

So, Length & Breadth can be (9,8) and (8,9)

∴ Statement I and II together are required to answer the question.

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