Question

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? w ≤ 10 â€" l 2l 2w ≥ 62 w ≤ 10 â€" l 2l 2w > 62 w ≤ l â€" 10 2l 2w ≥ 62 w ≤ l â€" 10 2l 2w > 62.

Answer 1

The inequalities is given by l - w > 10  and l + w > 62

Let the possible length in meters, l, and the possible width in meters, w, of the pool.

Since the perimeter of a rectangular pool is more than 62 meters:

2(l + w) > 62

l + w > 62     (1)

Also,  the width is at least 10 meters less than the length. hence:

l - w > 10    (2)

The inequalities is given by l - w > 10  and l + w > 62

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