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Assuming the shape is an irregular octagon (since there are 8 lengths given), there is not enough information to answer the question.

Polygons with more than three sides are not rigid. They can be flexed so that their shape and area changes without changing their side lengths. As an illustration, think of a square that can be flexed to form a rhombus and that can be made as thin as you like, with an area approaching zero.

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