Question

The ratio of length and breath of a rectangular garden is4:3 if its area is 4800m' find the cost of fencing it with wire 4 times at the rate of ruppess 1 point 75 per meter

Answer 1

Given ratio of length to breadth is 4:3

let length be 4x

and breadth be 3x

Given area of rectangular garden = 4800 sq m

Area of rectangle = l*b

So (4x*3x) = 4800 sq m

12x2 = 4800

x2= 4800/12 =====(x square)

x2 = 400

x = 20 m

so length = 4*20=80m

breadth= 3*20=60 m

To fence the field it is perimeter required

Perimeter of rectangle = 2(l+b)

The length of wire required to fence once    = 2(80+60)m

                                                                          =2(140)m

                                                                           =280 m

fencing 4 times = 4*280 m

                          =1,120 m

Cost of fencing wire is Rs 1.75 per meter = 1.75 * 1120

                                                                   =Rs 1,960