The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?

The answer is

w + l = 31

w ≥ l - 10

Perimeter of the rectangular pool (P) can be expressed as:

P = 2w + 2l,

where: w - the width of the pool, - the length of the pool.

It is given that P = 62, so

P = 62

Implementing the formula P = 2w + 2l:

2w + 2l = 62

2 (w + l) = 62

w + l = 62 : 2 = 31

So, the first inequality is w + l = 31.

For the second inequality, width is at least 10 meters less than the length:

w = l - 10 and w > l - 10

Therefore: w ≥ l - 10

The system of inequalities that represents the possible length in meters, l, and the possible width in meters, w, of the pool is:

w + l = 31

w ≥ l - 10