Question

The perimeter of the rectangle is 144 m if the length is thrice the breadth find the length and breadth

Answer 1

length=(3x) and breadth = (x)

perimeter = 144m

P=2(l+b)

144=2(3x+x)

144=2*4x

144/2=4x

72=4x

72/4=x

18=x

Now,length=(3x)=(3*18)=54

breadth=(x)=18

Answer 2

Answer:

=> The length and the breadth are $54 m and 18m$ respectively.

Step-by-step explanation:

Given that:-

A rectangle's length is three times its width.

The perimeter of the rectangle = $144$ m.

To find:-

The length and the breadth of the rectangle.

Let,

The breadth of the rectangle be $x$.

The length of the rectangle be $3x$  

We know that,

The perimeter of the rectangle = $2(l + b)$  

Therefore,

=> $2(3x+x)=144$

Distribute the terms,

=> $6x+2x=144$

Combine like terms,

=> $8x=144$

Divide both sides by $8$, we get

=> $x=18$m

So, the sides of the rectangle are :

★ The length = $3x = 3 \times 18 m = 54 m.$  

★ The breadth = $x = 18 m.$