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Let the lengths be x and x +5:

Area = 1/2*(x+x+5)*4 = 50 sq cm

Multiply both sides by 2 and multply out the brackets:

8x+20 = 100

8x = 100-20

8x = 80

x = 10

Therefore: the parallel sides are 10 cm and 15 cm

Check: 1/2*(10+15)*4 = 50 sq cm

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