The sides of the polygon are 3.6cm ,3cm ,5.7cm ,2.1cm,and 1.5cm.
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The area cannot be determined uniquely if just the side lengths are given. An easy way to show this is to make a model with sticks of the same length as the sides. Remember a polygon can be concave as well as convex. Many shapes are possible using the sticks. Some angles are needed to constrain the shape.

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