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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 the Breadth of the Pool? - CBSE Class 8 - Mathematics

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Question

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

Let the breadth be x m. The length will be (2x + 2) m.

Perimeter of swimming pool = 2(l + b) = 154 m

2(2x + 2 + x) = 154

2(3x + 2) = 154

Dividing both sides by 2, we obtain

`(2(3x + 2))/2 = 154/2`

3+ 2 = 77

On transposing 2 to R.H.S, we obtain

3x = 77 − 2

3x = 75

On dividing both sides by 3, we obtain

`(3x)/3 = 75/3`

x = 25

2x + 2 = 2 × 25 + 2 = 52

Hence, the breadth and length of the pool are 25 m and 52 m respectively

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 2: Linear Equations in One Variable
Ex. 2.20 | Q: 2 | Page no. 28

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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? Concept: Solving Equations Having the Variable on Both Sides.
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