Multiple choice

The area of a playground is $1600$ square metres. What is its perimeter? (I) It is a perfect square playground (II) It costs Rs. $3200$ to put a fence around the play ground at the rate of Rs. $20$ per metre

  1. Statement (I) ALONE is sufficient, but statement (II) B alone is not sufficient

  2. Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient

  4. EACH statement ALONE is sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement (I) gives the area of a square playground (1600), which allows calculating the side length (40) and thus the perimeter (160). Statement (II) gives the total cost (3200) and the rate per meter (20), allowing the perimeter to be calculated as 3200/20 = 160. Both statements independently provide sufficient information.

AI explanation

Statement I is sufficient because a square area of 1600 sq m means each side is 40 m, yielding a perimeter of 160 m. Statement II is also sufficient because the perimeter is simply the total fence cost divided by the rate per meter, which is 3200 divided by 20, resulting in 160 m. Therefore, each statement alone independently provides enough data to find the perimeter.

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