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Question

A path $$1\ m$$ wide is built along the border and inside a square garden of side $$30\ m.$$ Find the cost of planting grass in the remaining portion of the garden at the rate of Rs. $$40$$ per $$m^2.$$

Solution
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Area of the portion having grass is $$=(30-1-1)m=28m$$

Area of remaining portion$$=28\times 28=784m^2$$

The cost of planting grass in $$1m^2$$ of the garden$$=$$Rs. $$40$$

The cost of planting grass in $$784m^2$$ of the garden$$=$$Rs. $$40\times 784=$$Rs. $$31,360$$.

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