Math CentralQuandaries & Queries


Question from eve, a parent:

I am trying to help my daughter with the following problem: A square and an equilateral triangle have the same perimeter. The sum of one side of the square and one side of the triangle equals 28 cm.
Find the sides of the figures.

Hi Eve,

My approach is to let p be the perimeter of the square which is also the perimeter of the equilateral triangle. Hence one side of the square is of length p/4 and the length of one side of the triangle is p/3.

Can you finish it now?

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