Each side measures 10 cm
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If P = 40 then L + W = 20. The only combination which gives A = 100 is where L and W are both 10, ie the figure is a square of side 10 cm.
The side length is 70.71 cm
40 cm
A square with a side length of 2 cm has an area of 4 square cm.
An octagon has eight sides, in this case all the same length. Total length of eight sides = 40 cm. Length of each side = 40 divided by 8 equals 5 cm