Question

The length of a rectangular garden is 5/4times it's breadth. The expenditure for four layered wiring around the garden at RS.36per metre is RS 1,29,600. What is the breadth of the garden.?

Answer 1

let , breadth = b
length l= (5/4)×b
perimeter of the garden =(129600)/36
=3600 m2
then b×(5/4)b= 3600
( 5/4)b2 = 3600
5b2= 14400
b2=(14400)/5
b2 = 2880
b= √{2880}
= 53.66 m

Answer 2

Given :- The length of a rectangular garden is 5/4 times its breadth. The expenditure for four layered wiring around the garden at Rs.36 per meter is Rs.1,29,600. What is the breadth of the garden ?

Solution :-

Let us assume that, Breadth of the rectangular garden is x m .

so,

→ Length of rectangular garden = (5/4) of x = (5x/4) m .

then,

→ Perimeter of rectangular garden = 2(Length + Breadth) = 2{(5x/4) + x} = 2{(5x + 4x)/4} = 2(9x/4) = (9x/2) m.

therefore,

→ Perimeter od layering wire 4 times = 4 * (9x/2) = 18x m.

hence,

→ 18x = (Total cost/Rate)

→ 18x = (129600/36)

→ 18x * 36 = 129600

→ 648x = 129600

→ x = 200 m (Ans.)

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