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Home > GC > Chapter 8 > Lesson 8.3.2 > Problem 8-100


A regular hexagon with side length has the same area as a square. What is the length of the side of the square? Explain how you know.  

If a polygon is regular with sides, it can be subdivided into congruent isosceles triangles. One way to calculate the area of a regular polygon is to multiply the area of one isosceles triangle by .

The area of a square is . So to determine the side length of the square take the square root of the hexagon's area (since they are equal).