Question

The length of a rectangular park is two times the breadth of the park.The perimeter of the is 180 m.Find the length and the breadth of the park.​

Answer 1

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Question

The length of a rectangular park is two times the breadth of the park.The perimeter of the is 180 m.Find the length and the breadth of the park.

Required Answer

2 × 3x = 180

• The length of the park is 60 m.
• The breadth of the park is 30 m.

Step by Step Explanation:-

GiveN:-

• The length of a park is two times its breadth.
• The perimeter of the park is 180 m.

To FinD:-

• The length and breadth of the park.

SolutioN:-

∴ The length of the park would be 2 × x = 2x.

EquatioN:-

The perimeter of the park is 180 m.

$: \longrightarrow{ \sf{ ∴2(l + b) = 180}}$

$: \longrightarrow{ \sf{2(2x + x) = 180}}$

$: \longrightarrow{ \boxed{ \sf{ \red{2 \times 3x = 180}}} }$

180 = 2 ( 2b + b )

$\pink \leadsto$180 = 2 × 3b

$\pink \leadsto$ 180 = 6b

$\pink \leadsto$B = 180/6

$\pink \leadsto$ B = 30 m

$\pink \leadsto$L = 2b = 2 × 30 = 60 m.

Hence,Solved.

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Answer 2

$\sf{\huge{\underline{\purple{Given :-}}}}$

• The length of a rectangular park is two times the breadth of the park.

• The perimeter of the rectangle is 180 m.

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The length and the breadth of the park.

$\sf{\huge{\underline{\blue{Solution :-}}}}$

The length of a rectangular park is two times the breadth of the park.

Let the breadth be b m.

So, the length will be 2b m .

We, have the perimeter of the rectangle is 180 m.

We know,

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

➝ 180 = 2 ( 2b + b )

➝ 180 = 2 × 3b

➝ 180 = 6b

➝ b = 180/6

➝ b = 30 m

l = 2b = 2 × 30 = 60 m.

• The length of the park is 60 m.

• The breadth of the park is 30 m.

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