Question

the length and breadth of a rectangular field are in the ratio 5;3.the area of the field is 2160sq.m.if a fence is to be made at the rate of rs.350 per metre,how much will it cost?

Answer 1

Let the length and width be 5a and 3a

Area = Length × Width

=> 2160 = 5a × 3a

=> 15a^2 = 2160

=> a^2 = 144

=> a = 12

Length = 60 m

Width = 36 m

Perimeter = 2 (60 + 36)

= 2 (96)

= 192 m

Cost = 192 × 350

= Rs 67,200

Answer 2

Let the length and width be 5a and 3a

Area = Length × Width

=> 2160 = 5a × 3a

=> 15a^2 = 2160

=> a^2 = 144

=> a = 12

Length = 60 m

Width = 36 m

Perimeter = 2 (60 + 36)

= 2 (96)

= 192 m

Cost = 192 × 350

= Rs 67,200