Question

a rectangular lawn is to be surrounded externally by a path which is 3 metre wide. if the dimensions of lawn are 35m and 45m, find the cost of constructing the path at the rate of ₹100 per m^2

Answer 1

Area of inner rectangle = { l x b }
                                         { 45m x 35 m }
                                         1575 sq. m .
Length of outer rectangle = 45 m + 9 m = 54 m .
Breadth of outer rectangle = 35 m + 9 m = 44 m.
Area of outer rectangle = {l x b }
                                         { 54 m x 44 m }
                                         2376 sq. m.
Area of path = Area of outer rectangle-Area of inner rectangle 
                       2376 sq. m - 1575 sq. m
                       810 sq. m 
Cost of path = 810 x 100 = Rs. 81000 .