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 7 centimeters, what will be the exact area of each hexagonal shape?
@StudyGurl14

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 7 centimeters, what will be the exact area of each hexagonal shape?
@StudyGurl14

anonymous · Answer

attachment

studygurl14 · Answer

See how tagging is useful @ariana_keri ?

anonymous · Answer

yes i do...waaayyy better than just posting it

studygurl14 · Answer

Okay, so the area of a regular polygon is the perimeter times the apothem. 
First step. Find the perimeter. Can you do that?

anonymous · Answer

7 times 6 equals 42=perimeter

studygurl14 · Answer

correct. Now do you know how to find the apothem?

anonymous · Answer

no

studygurl14 · Answer

Formula for apothem: 
$\Large\frac{s}{2\tan(\frac{180}{n})}$
s = length of side
n = number of sides

anonymous · Answer

okay give me a sec to put it in the calculator.

studygurl14 · Answer

Okay. :)

anonymous · Answer

is it 8.57

studygurl14 · Answer

I got something different. did y

studygurl14 · Answer

ou plug in the right valyes?

studygurl14 · Answer

values*

anonymous · Answer

okay 180 divided by six times 2= 60 divided by seven is 8.57

studygurl14 · Answer

no. you need to do tan...
$\Large\frac{s}{2\tan(\frac{180}{n})}\rightarrow\frac{7}{2\tan(\frac{180}{6})}\rightarrow\frac{7}{2\tan(30)}\rightarrow?$