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

$P = 154\\a = 2b + 2$

a = ?; b = ?

$P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4$

$154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25$

$a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52$

Answer: 25 and 52 m.