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If given the total perimeter only it is impossible to do.

However, if the lengths of each part of the perimeter are given (or can be worked out from the lengths given) then split the shape's area up into areas of shapes whose area you do know how to calculate, calculate each area and add them up.

For example if you have a hexagonal L shape with lengths 1cm, 3cm, 3cm, 1cm, 4cm, 4cm, (all angles 90o) it can be split into two rectangular areas, one of 1cm x 3cm (from the top of the back of the L to the top of the piece across the bottom) and the other of 4cm x 1cm (all the way across the bottom of the L).

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15y ago

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