Question

The ratio between the length and the perimeter of a rectangle plot is 1:3 what is the ratio between the length and the breadth of the plot

Answer 1

let length of rectangle be 'l'm, breadth be 'b'm.

p

l

=

3

1

2(l+b)

l

=

3

1

3l=2l+2b

l=2b

∴

b

l

=

1

2

therefore required ratio is 2:1

Answer 2

Answer:

2 : 1

Step by step Explanation:

Let the length of rectangle = l m

and the breath of rectangle = b m

Now, we know that the ratio between the length and the perimeter of a rectangle plot is 1:3.

$\sf\dfrac{l}{p} = \dfrac{1}{3}$

Perimeter of rectangle = 2 ( l + b )

Substitute the formula of perimeter of rectangle.

$\sf\dfrac{l}{2(l + b)} = \dfrac{1}{3}$

$\sf3l = 2(l + b)$

$\sf3l = 2l +2 b$

$\sf3l - 2l= 2 b$

$\sf \: l = 2b$

Now, we have to find the ratio between the length and the breadth of the rectangular plot.

l = 2b

$\sf \dfrac{l}{b} = 2$

$\sf \dfrac{l}{b} = \dfrac{2}{1}$

$\therefore\sf \dfrac{l}{b} = \dfrac{2}{1}$

∴ The required ratio is 2:1

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