please give me the solution of the question no. 8
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Step-by-step explanation:
Given -
- Perimeter of a rectangular swimming pool is 154 m.
- Its length is 2 m more than twice its breadth.
To Find -
- Length and breadth of the pool
Let the breadth of the rectanglular pool is x m
Then,
Length is (2x + 2) m
Now,
As Given -
- Perimeter of rectangular pool = 154 m
» 2(l + b) = 154
» l + b = 77
» (2x + 2) + x = 77
» 3x + 2 = 77
» 3x = 77 - 2
» 3x = 75
» x = 75/3
- » x = 25 m
Hence,
The breadth of the rectanglular pool is 25 m
And
The length of the rectanglular pool is
(2x + 2)
» 2(25) + 2
» 50 + 2
- » 52 m
Verification -
Perimeter = 2(l + b)
» 154 = 2(52 + 25)
» 154 = 2(77)
» 154 = 154
LHS = RHS
Hence,
Verified..
Answered by
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Length 52m.
Breadth = 25m
- perimeter of a rectangular swimming pool is 154.
- it's length is 2m more than twice it's breadth.
- Length and Breadth of the pool.
- Let the breadth of the rectangular pool is x m.
(2x + 2) = 154
l + b = 77
(2x + 2) + x = 77
3x + 2 = 77
3x = 77 - 2
3x = 75
x = 25
2(25) + 2
50 + 2
52m.
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