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The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its width. What are the length and the width of the pool?​

User Gra
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Answer:

  • Length of the pool = 52 m
  • Width of the pool = 25 m

Explanation:

Given that,

  • The perimeter of a rectangular swimming pool is 154 m.
  • Its length is 2 m more than twice its width

Let's assume,

  • Width of the pool = x
  • Length of the pool = 2 + 2x

We know that,

Perimeter of rectangle = 2 (l + w)

Plugging the required values,


\sf \longrightarrow 2(2 + 2x + x) = 154


\sf \longrightarrow 2(2 + 3x) = 154


\sf \longrightarrow 4 + 6x = 154

Subtract 4 from both sides,


\sf \longrightarrow 4 + 6x - 4 = 154 - 4


\sf \longrightarrow 6x = 150

Divide both sides by 6,


\sf \longrightarrow x = 25

Since the Length of pool is 2x + 2, substitute the value of x here.


\sf \longrightarrow 2(25) + 2


\sf \longrightarrow 50 + 2


\sf \longrightarrow 52 \: m

Width of the pool = x = 25 m

Therefore, Length of the pool is 52 m and width of the pool is 25 m

User David Bern
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