The perimeter of rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool
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Answered by
2
length 52m and breadth 25m
Step-by-step explanation:
Let breadth be X
,, ,, ,, ,, be 2x + 2 + x
Perimeter 154m
154 = 2(2x + 2 + x)
154/2 = 2x + 2 + x
77 = 3x + 2
77 - 2 = 3
75 = 3x
Take 75 to RHS
Take 3x to LHS
3x = 75
x = 75/3
x = 25
BREADTH = x = 25
LENGTH = 2x + x + 2 = 2*25 + 2
=50 + 2 = 52
AdityaLegendXD:
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Answered by
1
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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