Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$\huge\purple {Answer \implies}$

Let the breadth of the pool be x m.

Condition I: Length = (2x + 2) m.

Condition II: Perimeter = 154 m.

We know that Perimeter of rectangle = 2 × [length + breadth]

2 × [2x + 2 + x] = 154

⇒ 2 × [3x + 2] = 154

⇒ 6x + 4 = 154 (solving the bracket)

⇒ 6x = 154 – 4 [Transposing 4 from (+) to (-)]

⇒ 6x = 150

⇒ x = 150 ÷ 6 [Transposing 6 from (×) to (÷)]

⇒ x = 25

Thus, the required breadth = 25 m

and the length = 2 × 25 + 2 = 50 + 2 = 52 m.

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