New length = 1.20L (20% increase)
New width = 0.90W (10% decrease)
New height = (1 + r/100)H

New volume factor = 1.20 × 0.90 × (1 + r/100) = 1.08(1 + r/100)

Volume decreased by 4%, so new volume = 0.96 × original.
1.08(1 + r/100) = 0.96

1 + r/100 = 0.96 ÷ 1.08 = 0.888889...
r/100 = 0.888889... − 1 = −0.111111...
r = −11.11% (to 2 d.p.)

Final Answer: −11.11%