Question

24 The ratio between the length and the perimeter
of a rectangular plot is 1 : 3. What is the ratio
between the length and breadth of the plot?
(a) 2:1
(b) 3:2
(c) 1:2
(d) Data inadequate
with full solution ​

Answer 1

Answer:

Your answer is given above in image.

Answer 2

$\bf\bigstar{Question}$

The ratio between the length and the perimeter  of a rectangular plot is

 1 : 3 . What is the ratio  between the length and breadth of the plot?

 (a) 2:1

 (b) 3:2

 (c) 1:2

 (d) Data inadequate

$\bf\bigstar{Answer}$

Given :

Ratio between length and perimeter of a rectangular plot = 1 : 3

To Find :

Ratio between length and breadth ?

Solution :

It is already given that the ratio between length and its perimeter is,

1 : 3.

Let length be X m.

Then,

Perimeter = 3X m.

As we know ,

$\huge{\boxed{\bf{Perimeter= 2(L + B)}}}}}$

We know that perimeter = 3X

$\longrightarrow\bf{3X=2(X+B)$

$\longrightarrow\bf{3X=2X+2B}$

$\longrightarrow\bf{3X-2X=2B}$

$\longrightarrow\bf{X=2B}$

ie,

X = length

X = 2B

That is,

Length = 2 breadth

It means,

Length = 2 times the breadth

Then,

Length : Breadth =  2 Breadth : Breadth

( Because we can write 2 breadth instead of length )

Ratio of length and breadth = 2 : 1

So the right answer for ur qstion is ,

$\huge{\boxed{\bf\bigstar{Option\:a-2 : 1\bigstar}}}}}$

Hope this answer can helps u dear !! ♥