Question

when a fence is put around a rectangular garden at a rate of Rs.6 per metre,it cost Rs.2400.if the length of the garden is 3/2 of its width , then its length is

Answer 1

Hope u understood .In this manner u can easily solve this question.

Answer 2

Finding Square meters of garden -

Per meter = Rs 6 .

Rs 2400 = ? metres

= 2400 ÷ 6

= 400. meters.

Finding length and width of the garden -

Let the width is x

length = 3/2x = 3x/2

Taking Length = L

Taking width = W

Perimeter of a Rectangle = 2(L + W)

$400 = 2(\dfrac{3x}{2} + x)$

$400 = 2(\dfrac{3x + 2x}{2})$

$400 = 2(\dfrac{5x}{2})$

$10x = 2 \times 400$

$10x = 800$

$x = \dfrac{800}{10}$

$x = 80$

Hence :

Width = 80 m

Length = 3x/2 = 3(80)/2 = 120 m .

$\bold{Answer : Length \: = \: 80 \: m}$