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

Answer:

Length of the rectangular park is 67.5 m and the breadth of the rectangular park is 22.5 m.

Explanation:

Given :-

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

To find :-

• Its dimensions.

Solution :-

Let the breadth of the rectangular park be x m.

★ The length of a rectangular park is thrice its breadth.

Then,

• Length of the rectangular park = 3x m.

Formula used :

${\boxed{\sf{Perimeter\:of\: rectangle=2(length+breadth)}}}$

According to the question,

2(3x+x) = 180

→ 2× 4x = 180

→ 4x = 180/2

→ 4x = 90

→ x = 90/4

→ x = 22.5

Therefore,

★ Breadth of the rectangular park = 22.5 m.

★ Length of the rectangular park = 3×22.5 = 67.5 m.

__________________

Additional Info :-

• Area of rectangle = length× Breadth
• Diagonal of rectangle = √(l²+b²)
• Perimeter of square = 4× side
• Area of square = side ²

Answer 2

$\sf \underline{Answer : - }$

Given:-

• Let the breadth (b) be b and length (l) be 3b
• Perimeter of park = 168 m

According to the question,

2(l+b)=168

2(3b+b)=168

8b=168

b=168/8

b=21 m

now,

length (l)= 3b =3×21=63 m

therefore,

Dimensions of park are length = 63 m and breadth= 21 m.