Math CentralQuandaries & Queries


Question from louis, a parent:

The lengths of five sides of a pentagon are 1,3,5,7,and 12 units. If the length of the longest side of a similar polygon is 18 units, find the perimeter of the larger pentagon. I think I figured it out Not sure though.


The longest sides are of lengths 12 and 18 units. Thus the longest side of the second pentagon is 1 ½ times the length of the longest side of the first pentagon. Since the pentagons are similar what can you say about the lengths of the other sides of the second pentagon?


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