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
73.53–√ cm2
73.53–√ cm2
1657 cm2
1657 cm squared
963–√ cm2
963–√ cm2
1923–√ cm2
1923–√ cm2
To find the area of a regular hexagon with equilateral triangles, you can use the formula:
Area = (3√3 / 2) x s^2, where s is the side length of the triangle.
Substitute the side length of 8 cm into the formula:
Area = (3√3 / 2) x 8^2
Area = (3√3 / 2) x 64
Area = 192√3 cm2
So, the exact area of each hexagonal shape will be 1923–√ cm2.