Geometry. I already know the answer, I just need to know how to solve. Part of a tiling design is shown. The center is a regular hexagon. A square is on each side of the hexagon, and an equilateral triangle joins the squares. Complete the pattern around the hexagon and calculate the total area of the pattern.

Question

lefinnois · Answer

In the process of drawing.

lefinnois · Answer

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lefinnois · Answer

The answer's 716.6 in ^2, but how do I solve?

rhondasommer · Answer

Hello :D Im Rhonda, welcome to OS :D

rhondasommer · Answer

I believe I know how to help you. What do you think?

lefinnois · Answer

Thank you! :-)

lefinnois · Answer

What do I think of you helping me? Sounds wonderful!

rhondasommer · Answer

:P how did you get the answer? Or did you just look in the back of the book. ;)

so, if all sides of a square are the same distance, what is the area of both squares?

lefinnois · Answer

Correct, I already have the answer to all of the questions.

lefinnois · Answer

I just want to know how to solve.

lefinnois · Answer

Well, my first guess would be that all sides are equal, so it'd be 32. Which is the product of 8 x 4.

rhondasommer · Answer

Hexagon:$$A=\frac{3\sqrt{3}}{
2}a^2$$ is area of hexagon formula where $$a=8$$

Square
Because you are looking for area of the , you have to multiply 8*8 for the area. You solved for perimeter, were you would do 8*4. :D

Triangle:
Divide 2 by what the square equals.

rhondasommer · Answer

I got it mathmale :D

rhondasommer · Answer

mathmate *

mathmate · Answer

start with this:
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Making a drawing is the first and most important step in solving geometry problems.