Question 62

A rectangular garden of length 12m is surrounded by a 2m wide path. If the area of the garden is 84 m² and the cost of gravelling is Rs.8 per m², what is the total cost of gravelling the path ?( in Rs.)

Solution

Length of rectangular garden = 12 m

Area of garden = $$12 \times b = 84$$

=> $$b = \frac{84}{12} = 7$$ m

Length of rectangular garden including path = $$12 + 2 + 2 = 16$$ m

Breadth of rectangular garden including path = $$7 + 2 + 2 = 11$$ m

Area of rectangular garden including path = $$16 \times 11 = 176 m^2$$

=> Area of path = $$176 - 84 = 92 m^2$$

$$\therefore$$ Costt of gravelling the path = $$92 \times 8$$

= Rs. $$736$$

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