Here, the length of NM of the corresponding polygon i.e. in the second figure is 6 units.
What are polygons?
A polygon is a closed polygonal chain made up of a finite number of straight line segments that are joined to form a planar figure in geometry.
How to solve this problem?
Given that the two shapes are similar. The length of each side of these two polygons are the same, i.e. the length of AB and FE are the same in the first figure. Also, the length of IJ and NM are the same in the second figure. Given that
AB : IJ = 5 : 1 and the length of FE = the length of AB = 30 units.
Using these two conditions, we can conclude that the length of IJ = the length of AB = 30/5 = 6 units.
Therefore the length of NM of the corresponding polygon is 6 units.
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