Question

The length and breadth of a rectangle are in the ratio 3:1. if the perimeter of the rectangle is 72cm. find the length of rectangle.​

Answer 1

Answer:

Length of the rectangle = 27 cm

Step-by-step Explanation:

Given :

Length and breadth are in ratio = 3:1

Perimeter of the rectangle = 72 cm

To find :

The length of the rectangle

Taken :

Let the length and breadth be x

And then use the formula of perimeter of the rectangle -:

$\boxed{\sf{2(3x+x)=P}}$

Where,

P = Perimeter

After finding the value of x multiply the value if with 3 to find the length.

Solution :

$:\implies\sf{2(3x+x)=72cm}$

$:\implies\sf{2(4x)=72cm}$

$:\implies\sf{8x=72cm}$

$:\implies\sf{x=\dfrac{\cancel{72cm}}{\cancel{8}}}$

$:\implies\sf{x=9cm}$

So , the value of x or the Breadth is 9 cm .

Length -:

$:\implies\sf{Length=9cm\times3}$

$:\implies\sf{Length=27cm}$

So , the length is 27 cm .

Answer 2

Answer:

Answer:

Length of the rectangle = 27 cm

Step-by-step Explanation:

Given :

Length and breadth are in ratio = 3:1

Perimeter of the rectangle = 72 cm

To find :

The length of the rectangle

Taken :

Let the length and breadth be x

And then use the formula of perimeter of the rectangle -:

\boxed{\sf{2(3x+x)=P}}

2(3x+x)=P

Where,

P = Perimeter

After finding the value of x multiply the value if with 3 to find the length.

Solution :

:\implies\sf{2(3x+x)=72cm}:⟹2(3x+x)=72cm

:\implies\sf{2(4x)=72cm}:⟹2(4x)=72cm

:\implies\sf{8x=72cm}:⟹8x=72cm

:\implies\sf{x=\dfrac{\cancel{72cm}}{\cancel{8}}}:⟹x=

8

72cm

:\implies\sf{x=9cm}:⟹x=9cm

So , the value of x or the Breadth is 9 cm .

Length -:

:\implies\sf{Length=9cm\times3}:⟹Length=9cm×3

:\implies\sf{Length=27cm}:⟹Length=27cm

So , the length is 27 cm .