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 hexagonal shape?

Answer 1

The area of a equilateral triangle is
\[A = \frac{ \sqrt{3} }{ 4 }a^{2}\]

If we use 6 triangles the area will be
\[6A = \frac{6 \sqrt{3} }{ 4 }a^{2}\]

Now input 4cm for a

Answer 2

i got 41.56922

Answer 3

That is correct, well done!

Answer 4

thank you so much!!