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It takes Rs. 3159 to plant synthetic grass in a square lawn, $${1 \over 4}$$ of which is paved (and thus does not require grass). If each side of this lawn measures 18m, what is the rate that the gardener charges for planting synthetic grass? (in Rs./m²)
Side of square lawn = 18 m
Part of the lawn that requires grass = $$1 - \frac{1}{4} = \frac{3}{4}$$
=> Area of the lawn that requires grass = $$\frac{3}{4} \times (18)^2$$
= $$3 \times 9 \times 9 = 243 m^2$$
Total amount to plant grass = Rs. 3159
$$\therefore$$ Rate that the gardener charges for planting synthetic grass = $$\frac{3159}{243} = 13$$
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