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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 breadth?

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NCERT Solutions for Class 8 Mathematics Chapter 2
Important NCERT Questions
Linear Equations in one Variable Chapter 2 Exercise 2.2
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 2

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1 Answer

  1. Let the breadth of the pool be x m.
    Then, the length of the pool = (2x+2)m
    Perimeter = 2(l+b)
    ⇒ 154 = 2(2x+2+x)
    ⇒ 154/2 = 2(2x+2+x)/2 [Dividing both sides by 2]
    ⇒ 77=3x+2
    ⇒ 77-2=3x+2-2 [Subtracting 2 from both sides]
    ⇒ 75=3x
    ⇒ 75/3=3x/3 [Dividing both sides by 3]
    ⇒ 25=x ⇒ x=25
    Length of the pool= 2x+2=2×25+2=50+2=52 m, Breadth of the pool=25m Hence, the length of the pool is 52 m and breadth is 25 m.

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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