Question

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.

Answer 1

Answer:Let the breadth be 'x'

Length = 2 + 2x

Now perimeter of a rectangle = 2(l + b)

2(l + b) = 154

2 ( 2 + 2x + x) = 154

2 ( 2 + 3x) = 154

2 + 3x = 77

3x = 75

x = 25 m

Required breadth = 25 m

Length = 2 + 2 x 25 = 52 m

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Answer 2

Let Breath Be X,

Let lenght be 2 + X

$2 \times (2 + x + x) \\ 2 \times (2 + 2x) \: then \: distributive \: property \\ 4 + 4x = 154 \\ 4(1 + x) = 154 \\ 1 + x = 154 \times 4 \\ 616 - 1 = x \\ x = 615$

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