Question

The length of a rectangular park is thrice its breadth. If the perimeter of the park is 328 metres, find dimensions​

Answer 1

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

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.