A wire of length 20\text{ cm} is to be bent into a rectangle. Which of the following statements is/are correct? I. The rectangle of the <strong>LARGEST</strong> area is the square. II. It is possible to form a rectangle of an area of 27\text{ cm}^2. Select the answer using the code given below.

Explanation

Let the sides of the rectangle be x and y. The perimeter is 2(x+y) = 20 \implies x+y=10. The area is A = x(10-x) = 10x - x^2. The maximum area occurs at x=5 (a square), giving A = 25. Thus, Statement I is correct. Since the maximum possible area is 25\text{ cm}^2, it is impossible to have an area of 27\text{ cm}^2. Statement II is incorrect.

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