A path is 1m wide is built along the border and inside a square garden of side 30m
1 Find the area of path
2 Find the cost of planting grass in the remaining portion of the garden at the rate of ₹40 per m
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Solution
Area of the square garden=\left(side\right)^2(side)
2
=30m\times30m=900m^2=30m×30m=900m
2
Length if the garden excluding the path= =30m-2\times1m=28m=30m−2×1m=28m
Area of the garden excluding the path= 28m\times28m=784m^228m×28m=784m
2
(i) Area of the path= 900m^2-784m^2900m
2
−784m
2
=116m^2=116m
2
(ii) Cost of the planting the remaining portion at the rate of Rs 40 per m^2m
2
=Rs\ 40\times784=Rs\ 31,360=Rs 40×784=Rs 31,360
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