the width of a rectangle is fixed 29 cm. what lengths will the perimeter greater than 82 cm.

the length must be greater than blank cm.

2 x 29 = 58 cm must be used for two of the sides. That requires 82 - 58 = 24 (or more) for the other two sides, since the perimeter must be 82 or more. That condition is met if the lengths is 12 cm or more