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?

Asked by Aaryan | 1 year ago |  103

##### 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

$$\frac{2(3x + 2)}{2} = \frac{154}{2}$$

3x + 2 = 77

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

3x = 77 - 2

3x = 75

On dividing both sides by 3, we obtain

$$\frac{3x}{3} = \frac{75}{3}$$

x = 25

2x + 2 = 25 + 2 = 52

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

Answered by Sakshi | 1 year ago

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