the perimeter of a rectangular swimming pool is 154m . its length is 2 m more than twice its breadth. what are the length and the breadth of the pool.
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2
Answer:
For the rectangular swimming pool,
P=154m
l= 2+2b
b=?
P=2 (l+b)
154/2=2+2b+b
77-2=3b
75=3b
b=25cm
l=2+2b
= 2+2×25
2+50
l=52 cm.
The length and breadth is 52 and 25 cm respectively.
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tq for asking.
Answered by
9
Given :
- Perimeter = 154m
____________________________
To Find :
- Length and the breadth
____________________________
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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