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a path 2.5cm wide runs along …

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a path 2.5cm wide runs along inside the boundary of a park whose length and breath are 72m and 43m respectively find the are of path and cost of levelling it at rupees 1.25per sq. m

  • 2 answers

Naveen Sharma 8 years, 4 months ago

Ans. [Image Here ]

in the given fiqure, the shaded portion is path. Let PQRS be the park whose 

Length (L) = 72 m

Breadth (B) = 43 m

Area of Park = 72 * 43 = 3096 m2 

Length of Field ABCD (L1) =  72 - (2.5+2.5) = 67 m

Breadth  of Field ABCD (B1) =  43  - (2.5+2.5) = 38 m

Area of Field ABCD  =  67 * 38 = 2546 m2

Area of Path = Area of Park PQRS - Area of Field ABCD 

=> Area of Bath = 3096 - 2546 = 550 m2

Rate of Levelling = Rs. 1.25 per m2 

Cost of Levelling the Path = 550 * 1.25 = Rs. 687.50

Rashmi Bajpayee 8 years, 4 months ago

In the quesiton, please check, the path should be 2.5 m wide instead of 2.5 cm.

Area of park = 72 m x 43 m =  3096 sq. m

Area of park including width of footpath = (72 + 2.5 + 2.5) x (43 + 2.5 + 2.5) = 77 m x 48 m =  3696 sq. m

Now,

Area of Path = 3696 - 3096 = 600 sq. m

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