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

Given, perimeter of the rectangular swimming pool = 154 m

Length is 2 m more than the breadth.

Let the breadth of the swimming pool = a metre

Therefore, as per question, length of the swimming pool = (2a + 2) metre

We know that, perimeter of rectangle = 2 (length + breadth)

Therefore, 154 m = 2 [ (2a + 2) + a]

? 154 m = 2(2a + 2 + a )

? 154 m = 2 (3a + 2)

? 154 m = 6a + 4

By subtracting 4 from both sides, we get

154 m – 4 = 6a + 4 – 4

? 150 m = 6a

After dividing both sides by 6, we get

? 25 m = a

? a = 25 m

Since, length = (2a + 2) m

Therefore, by substituting the value of breadth (a), we get

(2 x 25 + 2) m= (50 + 2) m = 52 m

Thus, length of the given pool = 52 m

And breadth = 25 m