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Such a pentagon is impossible.

A regular pentagon, with side lengths of 26 m has a perimeter of 5*26 = 130 metres.

Four sides of the irregular pentagon are 19.9 cm, 24.8 cm, 30 cm and 49.2 cm making a total of 123.9 cm. The length of the fifth side must be less than 123.9 cm. Therefore the perimeter of the irregular pentagon must be less than 247.8 cm - less than 2% of the required length of 130 metres or 13,000 cm.

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Q: What is the missing side length of an irregular pentagon if pentagon has side lengths of 19 9 cm 24 8 cm 30 cm and 49 2 cm and it has a perimeter of a regular pentagon with side lengths 26 m?
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