A residential complex has a 300 m long and 200 m broad park which has 2 paths
crossing each other at the centre. The width of the two paths is 10 m. What is the area of
the path? The authorities want install a circular fountain in the park. If the radius of the
fountain is 7 m, find its area and the area of the remaining park. What is the cost of
levelling the park excluding the paths and fountain at the rate of Rs. 120 per m^2?
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Solution :
Area of park=L×B where L and B are length and breadth of park.
=>L×B=45×30=1350(m)2
area of bigger rectangle including path=>L2×B2=(45+2.5)(30+2.5)
=>47.5×32.5=1543.75(m)2
area of path=1543.75−1350=193.75(m)2
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