Math, asked by workingvaanyas2707, 20 days ago

the perimeter of a rectangular park is 156 m. if its length is 2 m less than thrice its breadth. find the length and breath of the park

Answers

Answered by vchoudhary1512
4

Answer:

hope it helps you

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Answered by Anonymous
26

Given :-

  • Perimeter of a rectangular park = 156m
  • Let the breadth of the park be x
  • Therefore, length = 3x - 2

We know that :-

  • Perimeter of a rectangle = 2 (l + b)
  • L = length
  • B = Breadth

According to the question:-

  =  > 156m = 2(3x - 2 + x) \\  =  > 156m =  > 8x - 4 \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  > 156m  +  4 = 8x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  > 8x = 160m \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ =  > x =  \frac{160}{8 }   = 20 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Therefore,

  • Breadth = x = 20m
  • Length = 3x - 2 = 20 x 3 - 2 = 60 - 2 = 58m

Hope the answer helps you.

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