Joy takes 2km to run around a square park. Find the area of the park. Also, find the cost of levelling it at Rs. 6.50 per metre square.
(With solution).
Answers
Joy runs 2 km around the square park,
2 km = 2 x 1000 = 2000 meters
Now 2000 m is the perimeter
And perimeter of square is 4a, where a is the side of the square
so, 4a = 2000
a = 2000/4 = 500
we get side as 500 m
Now area of square = side x side = 500 x 500 = 250000 m²
Cost of leveling = Rs. 6.5 per m²
So cost of leveling 250000 m² = 250000 x 6.5 = Rs 1625000
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STEP 1: Find the perimeter:
Perimeter = 2km (Given)
Perimeter = 2 x 1000 = 200 m
Perimeter = 4 x Length
2000 m = 4 x Length
Length = 2000 ÷ 4
Length = 500 m
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STEP 2: Find the area:
Area = Length x Length
Area = 500 x 500
Area = 250000 m²
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STEP 3: Find the cost of levelling the park:
1 m² = Rs 6.5
250000 m² = 6.5 x 250000 = Rs 1,625,000
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Answer: It costs Rs 1,625,000 to level the park.
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