```Question 80208
<pre><font size = 5><b>
Alexis draws 300 circles with diameter 1,
Brianna draws 400 squares with side length 1,
and Cyril draws 500 equilateral triangles with
side length 1. If they all draw with the same
type of pen, who uses the most ink?

When you draw a circle you only draw the
circumference, unless you shade it in, and I
assume they didn't.  When you draw a square or a
triangle, and don't shade it in, you only draw
the perimeter. (If they shaded their figures
we'd have to use the areas instead).

A circle of diameter d=1 has a circumference
C = <font face = "symbol">p</font>d = <font face = "symbol">p</font>(1) = <font face = "symbol">p</font>.

So the sum of all the circumferences of Alexis'
300 circles is 300<font face = "symbol">p</font>.  That's about 942.4777961.

A square with side s=1 has a perimeter
P = 4s = 4(1) = 4

So the sum of all the perimeters of Briannas' 400
squares is 400(4) = 1600.

An equilateral triangle with side s=1 has a
perimeter P = 3s = 3(1) = 3

So the sum of all the perimeters of Cyril's 500
equilateral triangles is 500(3) = 1500.

So Brianna uses the most ink with her squares.

[If they had shaded them in Cyril would have
used the most ink).

Edwin</pre>```