Question

you are planning to use a ceramic tile design in your new bathroom. the tiles are blue-and-white equilateral triangles. you decide to arrange the blue tiles in a hexagonal shape as shown. if the side of each tile measures 4 centimeters, what will be the exact area of each hexagon shape?

Answer 1

24sqrt 3

Explanation:

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Answer 2

Using the equilateral triangles, the hexagon shaped design will use 6 triangles.
Solve first for the area of the triangle using the formula.
Area of the triangle= sqrt3/4s^2
= 6.93 cm^2
Total area of the hexagon = 6 x area of the triangle
= 41.57 cm^2