Question

A rectangular plot is 110m long and 70m broad . It has a gravel path 3m wide all around it. Find the area of the path and the cost of levelling it at the rate of Rs 3.50 per sq. m Advertisement

Answer 1

length of the field excluding path=110m
and, width of the field excluding path=70m area of the field excluding path=110m*70m
=7700m^2
now, length of the field including path
=(110+2*3)m=116m
and, width of the field including path
=(70+2*3)m=76m
area of the field including path
=116*76=8816m^2
area of the path=8816-7700=1116m^2
cost of lavelling=1116*Rs3.50=Rs3906

Answer 2

Length of the field excluding path = 110 m

Width of the field excluding path = 70 m

Area of the field excluding path = 110 × 70 = 7700m²

Length of the field including path = ( 110 + 2 × 3 ) = 116 m

Width of the field including path = ( 70 + 2 × 3 ) = 72 × 3 = 76 m

Area of the field including path = 116 × 76 = 8,816 m²

Area of the path = 8816 - 7700 = 1,116 m²

Cost of the levelling = 1,116× 3.50 = ₹ 3,906