Question

3

Answer 1

The relationship between the number of pentagons and the perimeter will be

$x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)$

From the diagram in the question, each side of a pentagon has length $3units$.

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, $x$, and the perimeter, $y$, as follows

For $x=\text{number of sides}=1$

$y=\text{perimeter}=3\times 5=15units$

For $x=2$

$y=3\times5+3\times5-1\\=15+15-1\\=29units$

For $x=3$

$y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units$

The relationship will be

$x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)$

Learn more about perimeter here: brainly.com/question/17756657