Q.5 A path 1 m 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 \( m^2.\)


Answer :


Area of the square garden =\( (Side)^2 \)
= 30 m × 30 m =\( 900 m^2 \)
Length of the garden excluding the path = 30 m – 2 × 1 m = 28 m
\(\therefore \)Area of the garden excluding the path = 28 m × 28 m = 784\( m^2 \)
(i) Area of the path =\( 900 m^2 – 784 m^2 = 116 m^2 \)
(ii) Cost of the planting the remaining portion
at the rate of Rs. 40 per\( m^2 \) = Rs. 40 × 784 = Rs. 31,360

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