To find the area of each hexagonal shape, we need to break it down into smaller shapes.
Each hexagon can be divided into 6 equilateral triangles, with each triangle having a side length of 7 cm.
The area of each equilateral triangle can be calculated using the formula:
Area = (sqrt(3) / 4) * (side length)^2
Plugging in the values:
Area = (sqrt(3) / 4) * (7)^2
Area = (1.732 / 4) * 49
Area = 1.732 * 12.25
Area = 21.21 cm^2
Since there are 6 equilateral triangles in each hexagon, the total area of the hexagon would be:
21.21 cm^2 * 6 = 127.26 cm^2
Therefore, the exact area of each hexagonal shape is 127.26 cm^2.
None of the given options match the exact area calculated, so the closest option would be 98 cm^2.
You are planning to use a
ceramic tile design in your
new bathroom. The tiles are
equilateral triangles. You
decide to arrange the tiles in a
hexagonal shape as shown.
If the side of each tile
measures 7 cm, what will be
the exact area of each
hexagonal shape?
(1 point)
73.5 cm2
98 cm2
21 cm2
1029 cm2
1 answer