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 cm, what will the exact area of each hexagonal shape be? (1 point) Responses 963–√ cm23 cm2963–√ cm23 cm2 1923–√ cm23 cm21923–√ cm23 cm2 1657 cm2cm21657 cm squared 73.53–√ cm2
The area of a hexagon can be calculated using the formula:
Area = (3√3/2) * s^2
Where s is the side length of the hexagon, which in this case is 8 cm.
Plugging in the values, we get:
Area = (3√3/2) * 8^2
Area = (3√3/2) * 64
Area = 96√3 cm^2
Therefore, the exact area of each hexagonal shape will be 96√3 cm^2.
The closest answer choice is:
963-√ cm^2.