Question

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

Answer 1

Question:-

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

Answer:-

• The length of park is 58 m

Solution:-

• Length = 3x-2 m
• Breadth = x m
• Perimeter = 156 m

$\blue{ \boxed{ \red{ \underline{ \underline{ \green{ \large{perimeter = 2(l + b)}}}}}}}$

$\large { : \implies \: 2(3x - 2 + x) = 156}$

$\large { : \implies \: 4x - 2 = \frac{156}{2} }$

$\large { : \implies \: 4x - 2 = 78}$

$\large { : \implies \: 4x = 78 </strong><strong>+</strong><strong> 2}$

$\large { : \implies \: 4x = </strong><strong>8</strong><strong>0</strong><strong>}$

$\large { : \implies \: x = </strong><strong>2</strong><strong>0</strong><strong>}$

• The breadth of park is 20 m

• Length = 3x-2 = 3(20) - 2 = 58 m

Answer 2

Answer :-

• Length of the rectangular park is 58m.

Given :-

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

To Find :-

• Length of the rectangular park.

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.