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Let the length of the other parallel be x:

1/2*(sum of the two parallels)*height = area

1/2*(9+x)*6 = 51 sq cm

Multiply both sides by 2 and then divide both sides by 6:

9+x = 17

Deduct 9 from both sides:

x = 8 cm

Check: 1/2*(9+8)*6 = 51 sq cm

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