The area of playground is 1600 m2. What is the perimeter?I. It is a pe...
Area = 1600 m2.
I. Side = 1600 m = 40 m. So, perimeter
= (40 × 4) m = 160 m.
∴ I alone gives the answer.
II. Perimeter = Total cost = 3200 m
= 160 m
Cost per metre = 20
∴ II alone gives the answer.
∴ Correct answer is (c).
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The area of playground is 1600 m2. What is the perimeter?I. It is a pe...
To find the perimeter of the playground, we need to know the length of each side of the square.
Statement I: It is a perfect square playground.
If the playground is a perfect square, then all sides will have the same length. However, without knowing the length of one side, we cannot find the perimeter. Therefore, statement I alone is not sufficient to answer the question.
Statement II: It costs Rs 3200 to put a fence around the playground at the rate of Rs 20 per meter.
From this statement, we can determine the cost of putting a fence around the playground, but it does not directly provide information about the dimensions or perimeter of the playground. Therefore, statement II alone is not sufficient to answer the question.
Combining both statements:
By combining both statements, we can determine that the cost of putting a fence around the playground is Rs 3200, and the rate is Rs 20 per meter. We can use this information to find the length of each side of the square.
Perimeter = 4 * side length
Cost of putting a fence = Perimeter * rate
3200 = 4 * side length * 20
3200 = 80 * side length
side length = 3200 / 80
side length = 40 meters
Now that we know the length of each side is 40 meters, we can find the perimeter.
Perimeter = 4 * 40
Perimeter = 160 meters
Therefore, by combining both statements, we can determine the perimeter of the playground. Hence, option C is the correct answer.
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