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Question:

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

Solution:

Let the breadth of rectangular swimming pool be x meters. Then, its length = (2x + 2) meters. We know that the Perimeter of a rectangle = 2(Length + Breadth) = 2(2x + 2 + x) = 6x + 4. According to the given condition, we have 6x + 4 = 154 → 6x = 154 - 4 [By transposing 4 to RHS] → 6x = 150 → x = 150/6 [Dividing both sides by 6] → x = 25. Thus, breadth = 25 m and length = 25 × 2 + 2 = 52 m