A rectangular garden of length 12m is surrounded by a 2m wide path. If the area of the garden is 84 m? and the cost of gravelling is Rs.8 p…

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. $736$