Question

A rectangular plot measure 125 m by 78 m. It has gravel path 3 m wide all around on the outside. Find the area of the path and the cost of gravelling it at ₹ 75 per m²

Answer 1

The plot with the gravel path is shown in the figure.

Area of the rectangular plot = l x b

Area of the rectangular plot = 125 x 78 = 9750 m²

Length of the park including the path = 125 + 6 = 131m

Breadth of the park including the path = 78 + 6 = 84m

Area of the plot including the path

= 131 x 84

= 11004 m²

Area of the path = 11004 - 9750

= 1254m²

Cost of gravelling 1 m² of the path Rs 75

Cost of gravelling 1254m² of the path = 1254 x 75

= Rs 94050