Problema Solution

The perimeter of a swimming pool is 97m. The width is 2m more than half the length of the pool. Find the length and width of the pool.

Answer provided by our tutors

Let L represent the length of the pool

Let W represent the width of the pool

2L + 2W = 97

W = 2 + L/2 \\ replace W by 2 + L/2 in first equation

2L + 2(2 + L/2) = 97

2L + 4 + L = 97

3L = 93

L = 31

W = 2 + 31/2 = 35/2 = 17.5

The dimensions of the pool are 17.5 m by 31 m