Question

A garden is 120 m long and 80 m broad.in the middle of it there is a circular tank of radius 14m.find the cost of levelling the remaining portion of the garden at the rate of. 50 per sq m. (use22/7)

Answer 1

Given :

Length and breadth of the garden is 120 × 80 meter.

Radius of the circular tank is 14 meter.

To Find :

The area of the remaining portion of the garden. and find the cost for leveling.

Solution :

Area of the garden = Length × Breadth

                               = 120 × 80

                              = 9600 meter²

Area of the circular tank = πr²

                                        = $\frac{22}{7}\times 14^2$

                                        = $\frac{22}{7}\times 196$

                                        = $\frac{4312}{7}$

                                        = 616 meter²

Remaining area of the garden for leveling = 9600 - 616

                                                                       = 8984 meter²

Cost of leveling of the garden = ₹50 per sq meter

Cost of leveling 8984 m² = 8984 × 50

                                          =  ₹ 4,49,200

The cost of leveling the remaining portion of the garden is ₹ 4,49,200.