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Let one side be x+5 and the other side be x:

1/2*(sum of both parallel sides)*height = area

1/2*(x+5+x)*9 = 94.5 sq cm

Mutiply both sides by 2:

(x+5+x)*9 = 189

Divide both sides by 9

x+5+x = 21

2x = 21-5

2x = 16

x = 8

Therefore the lengths are 13 cm and 8 cm

Check: 1/2*(13+8)*9 = 94.5 sq cm

Q: What are the lengths of the parallel sides of a trapezium with one side greater by 5 cm and a height of 9 cm with an area of 94.5 sq cm?

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