A path `5` m wide runs along inside a square park of side `100` m. Find the area of the path. Also find the cost of cementing it at the rate of `250` per `10 m^2` .

Answer

Rs. 47,500`

Explanation

Let `ABCD` be the square park of side `100` m. The
shaded region represents the path `5` m wide.
`PQ = 100 – (5 + 5) = 90 m`
Area of square `ABCD` = `(side)^2` = `(100)^2`
`m^2` = `10000 m^2`
Area of square `PQRS` = `(side)^2`
`= (90)^2`
` m^2`
`= 8100 m^2`

Therefore, area of the path = `(10000 − 8100)` `m^2`
`= 1900 m^2`

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