A path 4 m wide runs around the inside of a square park of side 100 m. Find the area of the path. Find the cost of levelling the path at 5 per square metre.
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Given inner side of square park, s=100 cm
Area of inner square =100
2
=10000 cm
2
width of path,w=5 cm
Outer side of square =100+5+5=110 cm
Area of outer square =110
2
=12100 cm
2
Area of path =12100−10000=2100 cm
2
Cost of cementing at the rate of Rs 250 per 10 sq cm = Rs 250×210= Rs 52500
∴ Cost of cementing a 2100 cm
2
path =Rs. 52500
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