A tile company produces a tile in the shape of a regular polygon. If each interior angle has a measure that is three times an exterior angle measure, identify the regular polygon. If one side of a tile has a length of 2.3 cm, find the perimeter of a tile.

Anima
Dec 9, 2015

#3**+10 **

This is what Hayley is talking about.

And, I am with CPhill - that was a top answer Hayley.

The program we use to draw pictures like this is called GeoGebra. It is a download.

It is commonly used by schools so you can probably get permission to download it.

Anyone who has an interest in drawing maths 'pics' should download it (for free) and have a play :)

AND that is the first time I have tried Alan's method of uplading a tiny pic image.

It was a bit slower but I guess I will get faster at it. :D

Thanks Alan

Melody
Dec 10, 2015

#1**+15 **

let exterior = x

therefore interior = 3x

3x + x = 180

4x=180

x = 45 degrees

exterior angle * # of sides = 360

# of sides = 360/45

# of sides = 8 hence an octagon

perimeter = 8 * length of side

= 8*2.3

= 18.4cm

Hayley1
Dec 9, 2015

#3**+10 **

Best Answer

This is what Hayley is talking about.

And, I am with CPhill - that was a top answer Hayley.

The program we use to draw pictures like this is called GeoGebra. It is a download.

It is commonly used by schools so you can probably get permission to download it.

Anyone who has an interest in drawing maths 'pics' should download it (for free) and have a play :)

AND that is the first time I have tried Alan's method of uplading a tiny pic image.

It was a bit slower but I guess I will get faster at it. :D

Thanks Alan

Melody
Dec 10, 2015