Question

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice it's breadth. What are the length and the breadth of the pool?

Answer 1

Let the breadth be 'x' and the Length will be 2 + 2x

formula to find perimeter of a rectangle is 2(l + b)

perimeter is 154

2(l + b) = 154

2 ( 2 + 2x + x) = 154

2 ( 2 + 3x) = 154

2 + 3x = 77

3x = 75

x = 25 m

Required breadth is 25 m

Length is 2 + 2 × x = 2 + 2 × 25 = 52 m

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Answer 2

Perimeter of the swimming pool= 154m

Let us take breadth of the swimming pool as b.

So, length of the swimming pool= 2+2b.

According to question,

2(2+2b+b)= 154

=> 2× (2+3b) = 154

=> (2+3b)= 154/2

=> 3b = 77 - 2

=> b = 75/3

=> b = 25m

So, length of rectangular swimming pool=2+2×25

= 52m (Ans)

And, breadth of the swimming pool= 25m (Ans)

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