Question

The perimeter of rectangular swimming pool is 154 metre its length is 2 metre more than twice its breadth what are the length and the breadth of the pool ​

Answer 1

Answer:

$\longrightarrow$ Length = 52 m

$\longrightarrow$ Breadth = 25 m

Step-by-step explanation:

As per the provided information in the given question, we have :

• Perimeter of the rectangular swimming pool = 154 m
• Length = 2 more than twice its breadth

$\rm b \: \: \huge\boxed{\begin{array}{cc} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \: \: \rm 2 + 2b$

We are asked to calculate the length and the breadth of the pool.

Let us suppose the breadth of the pool as b. According to the question,

➛ Length of the pool = 2 + 2b_(i)

As we know that,

➛ Perimeter of rectangle = 2 (l + b)

• l denotes length
• b denotes breadth

➛ 154 = 2(2 + 2b + b)

➛ 154 = 2(2 + 3b)

➛ 154 = 4 + 6b

➛ 154 – 4 = 6b

➛ 150 = 6b

➛ 150 ÷ 6 = b

➛ 25 = b

Therefore, the breadth of the rectangular pool is 25 m.

Now, substitute the value of b in the equation (i) to calculate the value of l.

➛ Length of the pool = 2 + 2b

➛ Length of the pool = 2 + 2(25)

➛ Length of the pool = 2 + 50

➛ Length of the pool = 52 m

Therefore, length of the pool is 52 m.

Answer 2

Step-by-step explanation:

Answer:

\longrightarrow⟶ Length = 52 m

\longrightarrow⟶ Breadth = 25 m

Step-by-step explanation:

As per the provided information in the given question, we have :

Perimeter of the rectangular swimming pool = 154 m

Length = 2 more than twice its breadth

\begin{gathered} \rm b \: \:

b

2+2b

We are asked to calculate the length and the breadth of the pool.

Let us suppose the breadth of the pool as b. According to the question,

➛ Length of the pool = 2 + 2b_(i)

As we know that,

➛ Perimeter of rectangle = 2 (l + b)

l denotes length

b denotes breadth

➛ 154 = 2(2 + 2b + b)

➛ 154 = 2(2 + 3b)

➛ 154 = 4 + 6b

➛ 154 – 4 = 6b

➛ 150 = 6b

➛ 150 ÷ 6 = b

➛ 25 = b

Therefore, the breadth of the rectangular pool is 25 m.

Now, substitute the value of b in the equation (i) to calculate the value of l.

➛ Length of the pool = 2 + 2b

➛ Length of the pool = 2 + 2(25)

➛ Length of the pool = 2 + 50

➛ Length of the pool = 52 m

Therefore, length of the pool is 52 m.