The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?

Solution:

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Let's form a linear equation for the given problem statement.

Let the breadth(b) of the swimming pool be x m.

Therefore, the length(l) of the swimming pool will be (2x + 2) m

The perimeter of rectangular swimming pool = 2(l + b)

By substituting the values of l and b in the perimeter 2(l + b) we get,

2(x + 2x + 2) = 154 [Since, perimeter of the swimming pool is 154 m]

⇒ 6x + 4 = 154

⇒ 6x = 150

⇒ x = 150/6 = 25

Thus breadth(b) = x = 25 m,

length = 2x + 2 = 2(25) + 2 = 52 m

Thus, the length and breadth of the swimming pool are 52 m and 25 m respectively.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

Video Solution:

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 2

Summary:

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. The length and breadth of the swimming pool are 52 m and 25 m respectively.

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