Question

the length of a rectangular garden is 5.4 times its breadth. find the breadth, if the cost of four layered fencing for the garden is rs 1,29,600 at the rate of rs 36per metre

Answer 1

Answer :

Given : length of a rectangular garden is 5.4 times its breadth .
So ,
Let Breadth of rectangular garden = x
So,
Length of rectangular garden = 5.4x

And given : if the cost of four layered fencing for the garden is rs 1,29,600 at the rate of rs 36per metre , So

4 ( Perimeter of rectangular garden ) $\times$ 36 = 129600
So,

Perimeter of rectangular garden = $\frac{129600}{4\times 36}=\frac{129600}{144}=900m$

And we know Perimeter of rectangle = 2 ( Length + Breadth )

So,
Perimeter of rectangular garden = 2 ( x + 5.4x ) = 2 ( 6.4x )

Then we get

2 ( 6.4x ) = 900

6.4x = 450

x = 70.3125
So,
Breadth of rectangular garden = 70.3125 m ( Ans )