Multiple choice

The area of a playground is 1600 m2. What is the perimeter? Statement I: It is a perfect square playground. Statement II: It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.

  1. I alone sufficient while II alone not sufficient to answer

  2. II alone sufficient while I alone not sufficient to answer

  3. Either I or II alone sufficient to answer

  4. Both I and II are necessary to answer
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area = 1600. If it is a square, side = 40, perimeter = 160. Statement II gives total cost 3200 and rate 20, so perimeter = 3200/20 = 160. Both statements independently provide the perimeter.

AI explanation

Statement I alone provides that the playground is a perfect square, so the side length is the square root of the area 1600, which equals 40 meters, and the perimeter is 4 multiplied by 40 to equal 160 meters. Statement II alone gives the total fencing cost as 3200 rupees at a rate of 20 rupees per meter, making the perimeter 3200 divided by 20 to equal 160 meters. Since the question asks only for the perimeter and both statements independently provide a way to find it, either statement alone is sufficient to answer the question.

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