Question

The length of a rectangular field is twice its breadth. If the perimeter of this field 540m, what is the length of the field?​

Answer 1

Answer:

Length of the rectangle = 180m

Step-by-step explanation:

Given :

Perimeter of the rectangle = 540 m

Length of the rectangle is twice of the Breadth

To find :

The length of the rectangle

Taken :

Let the length be 2x

Let the Breadth be x

So , to find the length use this formula -:

$\boxed{\rm{2(L+B)=P}}$

Where,

L = Length

B = Breadth

P = Perimeter

After we will get the value of x that will be the Breadth . Do the twice of the breadth to find the length of the rectangle .

Solution :

$:\Rightarrow\rm{2(2x+x)=540m}$

$:\Rightarrow\rm{4x+2x=540m}$

$:\Rightarrow\rm{6x=540m}$

$:\Rightarrow\rm{x=\cancel{\dfrac{540m}{6}}}$

$:\Rightarrow\rm{x=90m}$

So , the Breadth of the rectangle is 90m .

Length -:

$:\Rightarrow\rm{L=90m\times2}$

$:\Rightarrow\rm{L=180m}$

So , the length of the rectangle is 180m .