A path `1m` wide is built along the border and inside a square garden of side `30 m.` Find: (i) the area of the path (ii) the cost of planting grass in the remaining portion of the garden at the rate of `Rs 40` per `m^2`

Explanation

With the given details, we can have two squares with `1` m wide path.

The area of path will be the difference between these two squares area.

Please refer to video for the diagram of these two squares.

Side of outer square `= 30m`

Area of outer square ` = 30^2 = 900m^2`

Side of inner square ` = 30-1-1 = 28m`

Area of inner square ` = 28^2 = 784m^2`

So, required area of path ` = 900-784 = 116`m^2

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