shaziatabassum shaziatabassum

16-05-2021
Mathematics

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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.

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coolunnameduser coolunnameduser

16-05-2021

[tex]P = 154\\a = 2b + 2[/tex]

a = ?; b = ?

[tex]P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4[/tex]

[tex]154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25[/tex]

[tex]a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52[/tex]

Answer: 25 and 52 m.

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