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 8 centimeters, what will be the exact area of each hexagonal shape?

Answer 1

If the tiles are equilateral triangles, so all his sides have the same measure, equals to 8 cm. To calculate the area of the hexagonal shape, you must find out the area of the six triangles that form it:

A = 6 ×(b×h) / 2
A = 3×(8 × 4 × \|3 ) = 3 × 32 × \|3 =
A = 96 \|3 cm^2