Question

the perimeter of rectangular pool is 154m it's length is 2m more than twice its bredth what are the length and breadth​

Answer 1

Answer:

Length is 52 m and Breadth is 25 m.

Step-by-step explanation:

Given :

Perimeter = 154 m

Length = 2 m more than twice its Breadth

To find :

Length and breadth

Solution :

Let the -

• Breadth be y
• Length be (2y + 2)

★ Perimeter = 2(Length + Breadth)

⇒ 154 = 2(2y + 2 + y)

⇒ 154 = 4y + 4 + 2y

⇒ 154 = 6y + 4

⇒ 6y = 154 - 4

⇒ 6y = 150

⇒ y = 150/6

⇒ y = 25

Breadth = 25 m

$\rule{300}{1.5}$

★ Length -

⇒ 2y + 2

⇒ 2(25) + 2

⇒ 50 + 2

⇒ 52

Length = 52 m

Therefore, Length is 52 m and Breadth is 25 m.

Answer 2

Step-by-step explanation:

Given -

• Perimeter of rectangular pool is 154 m.
• Length is 2 m more than twice its breadth

To Find -

• Length and Breadth of the rectanglular pool.

As we know that,

• Perimeter of rectangle = 2(l + b)

here,

l = length

b = breadth

Let x be the breadth

Then,

Length is (2x + 2)

Now,

= 154 = 2(2x + 2 + x)

= 77 = 2x + 2 + x

= 77 - 2 = 3x

= 75 = 3x

= x = 75/3

• = x = 25

Hence,

The breadth is 25 m

and

The length is 2(25) + 2 = 52 m

Verification -

• Perimeter = 2(l + b)

154 = 2(52 + 25)

= 154 = 2(77)

= 154 = 154

LHS = RHS

Hence,

Verified..