the width of a rectangular book is 20 cm less than twice its length the perimeter is at least 59 CM which quality represents all the possible with w of the book

W ≥ 13 cm represents all the possible width of the book.

Step-by-step explanation:

The width (say W cm) of the rectangular book is 20 cm less than twice its length (say L cm).

So, W = 2L - 20

⇒ 2L = W + 20 ... (1)

Now, the perimeter of the book is at least 59 cm.

So, 2 (L + W) ≥ 59

⇒ 2L + 2W ≥ 59

⇒ W + 20 + 2W ≥ 59 {From equation (1) }

⇒ 3W ≥ 39

⇒ W ≥ 13

Therefore, W ≥ 13 cm represents all the possible width of the book. (Answer)