the perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. what are the length and breadth of the pool?
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Answer:
Step-by-step explanation:
l 24 b 16
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Given :
- Perimeter = 154m
____________________________
To Find :
- Length and the breadth
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Solution :
Let x be the measure of the breadth
According to the question :
→ Length = 2x + 2
2(length + breadth) = Perimeter of the rectangle
⇒ 2 {(2x+2) + x} = 154m
⇒ 2(2x + 2 + x) = 154m
⇒ 2(3x + 2) = 154m
⇒ 6x + 4 = 154m
⇒ 6x = 154m - 4
⇒ x = 150/6
⇒ x = 25m
Finding out length and breadth :
→ L = 2x+2 = 52
→ B = x → 25
∴ Length of rectangle is 52 m and breadth is 25 m
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