Question

The length of a rectangular plot is thrice its breadth. (3 marks) If the perimeter of the plot is 144 m, find its length and breadth.

Answer 1

GIVEN :

• The length of the rectangular plot is thrice its breadth.
• The perimeter of the rectangular plot is 144 m.

TO FIND :

• Length and breadth.

SOLUTION :-

We know that,

$\bigstar{ \boxed{ \tt{ \red{Perimeter \: of \: rectangle = 2 (l +b) }}}} \bigstar$

Let the breadth of the rectangular plot be x m .

Then , its length = 3x m

$: \implies {\sf{Perimeter = 144 m}}$

$: \implies{\sf{2(3x + x) = 144}}$

$: \implies{\sf{6x + 2x = 144}}$

$: \implies{\sf{8x = 144}}$

$: \implies{\sf{x = \cancel{\dfrac{144}{8}}}}$

$: \implies{ \boxed{\tt{x = 18}}}$

Therfore,

• Breadth = 18 m
• Length = 3×18 = 54 m

Answer 2

Answer:

GIVEN :

The length of the rectangular plot is thrice its breadth.

The perimeter of the rectangular plot is 144 m.

TO FIND :

Length and breadth.

SOLUTION :-

We know that,

$\bigstar{ \boxed{ \tt{ \purple{Perimeter \: of \: rectangle = 2 (l +b) }}}}$

Let the breadth of the rectangular plot be x m .

Then , its length = 3x m

Perimeter = 144 m

$\pink{: \implies{\sf{2(3x + x) = 144}}}$

$\pink{: \implies{\sf{6x + 2x = 144}}}$

$\pink{: \implies{\sf{8x = 144}}}$

$\pink{: \implies{\sf{x = \cancel{\dfrac{144}{8}}}}}$

$\pink{: \implies { \boxed{\tt{x = 18}}}}$

• Therfore,

• Breadth = 18 m
• Length = 3×18 = 54 m