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

Question

anonymous · Answer

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anonymous · Answer

A. 12 cm2	

B. 192 cm2	

C. 32cm2	

D. 24cm2

anonymous · Answer

A hexagon is made up of six triangles. So to get its area, you need to take the area of one triangle and multiply it by 6.

anonymous · Answer

You already have the base. 

The height of an equilateral triangle = base/ 2 * √(3)
That will give you the height.

The area of a triangle is A=bh/2

You know b is 7, and that formula will give you h.

anonymous · Answer

Sorry, b is 4.

anonymous · Answer

i cant get the height my calc is telling me syntex error

anonymous · Answer

$$4/(2\sqrt3)$$

anonymous · Answer

Or multiply by the reciprocal, $$4\sqrt3/2$$

anonymous · Answer

24?

anonymous · Answer

Area of triangle = b*h/2 = 4* (4√(3)/2) / 2 = 4√(3)
Area of hexagon = 6 * area of triangle = 6 * 4√(3) = 24 √(3)

anonymous · Answer

The area of one triangle is $$4\sqrt3$$
You need to multiply this times 6 to get the whole hexagon. So$$6*(4\sqrt3)=24\sqrt3$$

anonymous · Answer

Make sense?

anonymous · Answer

when u explain yes lol