Question

the length of a rectangular field is thrice of its breadth the perimeter of the field is 300 metres then find the length and breadth of the field​

Answer 1

Given :

• Length of a rectangular field is thrice of its breadth .
• Perimeter of the field is 300 metres .

To Find :

• Length and Breadth of the field .

Solution :

$\longmapsto\tt{Let\:Breadth\:be=x}$

As Given that Length of a rectangular field is thrice of its breadth . So ,

$\longmapsto\tt{Length=3x}$

Using Formula :

$\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}$

Putting Values :

$\longmapsto\tt{300=2(3x+x)}$

$\longmapsto\tt{\cancel\dfrac{300}{2}=4x}$

$\longmapsto\tt{150=4x}$

$\longmapsto\tt{\cancel\dfrac{150}{4}=x}$

$\longmapsto\tt\bf{37.5=x}$

Value of x is 37.5 .

Therefore :

$\longmapsto\tt{Breadth\:of\:Rectangle=x}$

$\longmapsto\tt\bf{37.5\:m}$

$\longmapsto\tt{Length\:of\:Rectangle=3(37.5)}$

$\longmapsto\tt\bf{112.5\:m}$

Answer 2

Given :-

The  length of a rectangular field is thrice of its breadth the perimeter of the field is 300 metres

To Find :-

Length and breadth

Solution :-

Let the breadth be b and length be 3b

2(l + b) = 300

2(3b + b) = 300

6b + 2b = 300

8b = 300

b = 300/8

b = 37.5 m

Now finding length

Length = 3(37.5)

Length = 112.5 m