Question

a path 5m wide runs along inside a square park of side 100 m . find the area of the path.​

Answer 1

See the attached figure :- 

given , 

length of the big square = 100 m

length of the small square = 5 m

Side of the smaller square = Side of the bigger square - 2(width of the path)

                                           = 100 - 2(5)

                                           = 90 m

Area of the path = (100)² - (90)² = 10000 - 8100 = 1900 sq m

Cost of cementing at the rate of Rs 250 per 10 m² = 250 x 190 = Rs 47500

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