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

a. 9 cm
b. 18 (square root) 3 cm
c. 13.5 (square root) 3 cm
d. 81 cm

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

a. 9 cm
b. 18 (square root) 3 cm
c. 13.5 (square root) 3 cm
d. 81 cm

raden · Answer

a hexagonal equals 6 times area of a triangle. and to get area of triangle you can use the formula 1/2 * s^2 * sqrt(3) 
(s = side of the equilateral triangle)

raden · Answer

so,
6 * 1/2 * s^2 * sqrt(3)
put s = 3, get
6 * 1/2 * 3^2 * sqrt(3) = ...

anonymous · Answer

what does the ^ mean?

raden · Answer

^ = power = exponent
it like 2^3 = 2 * 2 * 2 = 8

anonymous · Answer

Thats what I thought

anonymous · Answer

Thanks for the help!

raden · Answer

did you get it ?

you;re welcome

anonymous · Answer

Kinda.