Question

The length of a rectangular park is thrice its breadth if the perimeter of the prak is 168 meter find its The length of the rectangular park is thrice its breadth if the perimeter of the park is 168 meter find its dimensions

Answer 1

B=X
L=3X
PERIMETER=2(L+B)
168 =2(4X)
168= 8X
X=168/8
The breadth is 21m
While the length is 63m

Answer 2

$\huge{\huge {\red{\bf Answer :- }}}$

Length of the rectangular park is 58m.

$\huge \pink{\rm Given :- }$

Length of a rectangular park is 2m less than thrice the breadth and perimeter of park is 156m.

$\huge \pink{\rm To \: Find :- }$

Length of the rectangular park.

$\huge{\huge{ \red{ \bf Solution :- } }}$

Let

Breadth of the rectangular park be x

Length of the rectangular park will be 3x - 2

Given

Perimeter of the rectangular park is 156m.

As we know that

Perimeter of the rectangle is

2 (l + b)

Where

l = length of the rectangle

b = breadth of the rectangle

According to question :-

⇒ 2 {(3x - 2) + x} = 156

⇒ 2 {3x + x - 2} = 156

⇒ 2 { 4x - 2 } = 156

⇒ 4x - 2 = 156/2

⇒ 4x - 2 = 78

⇒ 4x = 78 + 2

⇒ 4x = 80

⇒ x = 80/4

⇒ x = 20

Now

Breadth of the rectangular park = x = 20m

Length of the rectangular park = 3x - 2 = 3(20) - 2 = 58m

Hence, the length of the rectangular park is 58m.