The perimeter of a rectangular swimming pool is 216m its length is 3m more than twice its breadth. What are the length and breadth of the pool ?
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Given :
- The perimeter of a rectangular swimming pool is 216m.
- Its length is 3m more than twice its breadth.
To Find :
- the length and breadth of the pool
Solution :
Let's Assume,
- The length of the pool be x + 3
- The breadth of the pool be 2x
According to the Question :
- Perimeter = 2(Length + Breadth)
- 216 = 2(x + 3 + 2x)
- 216/2 = x + 3 + 2x
- 108 = x + 3 + 2x
- 108 - 3 = x + 2x
- 105 = x + 2x
- 105 = 3x
- 105/3 = x
- 35m = x
Therefore :
- Length of the pool = x + 3
- Length of the pool = 35 + 3
- Length of the pool = 38m
- Breadth of the pool = 2x
- Breadth of the pool = 2 × 35
- Breadth of the pool = 70m
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