Question

the lenght of a rectangular park is thrice its breadth.if the perimeter of the park is 168 metres,find its dimensions

Answer 1

length 3x

breadth x

perimeter=168

168=2(3x+x)

168=2(4x)

168=8x

168/8=x

21=x please let it be brainlist answer

Answer 2

ANSWER :

Dimensions are 21 m and 63 m.

EXPLANATION :

•Given:-

• The length of a rectangular park is thrice its breadth.
• The perimeter of the park is 168 metres.

•To find :-

• Dimensions of the rectangular park.

• Solution :-

Let the breadth of the rectangular park be x m.

The length of a rectangular park is thrice its breadth.

So Length = 3x m.

We know ,

${\boxed{\sf{Perimeter\:of\: rectangle = 2(Length+\: Breadth)}}}$

So, Perimeter = 2(l+b)

→ Perimeter = 2(3x+x) m

→ Perimeter = 8x m

According to the question,

8x = 168

→ x = 168/8

→ x = 21

So, Breadth = 21 m.

Length = (3×21) = 63 m.

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VERIFICATION :-

Length = 63 m

Breadth = 21 m

Perimeter = 2(63+21) m

→ Perimeter = 168 m

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