Answer:
4 mm
Step-by-step explanation:
The radius is half the diameter, so in this case the radius of each button is 4 mm.
Solving for L:
P = 2L + 2W
P - 2W = 2L
(P - 2W) / 2 = L
L = (P - 2W) / 2
Since you have two angles that measure 45 degrees. Those 2 equal 90 degrees altogether. Since a triangle measures 180 degrees, you take 180-90 because you already have 2 angles and are trying to find the last one. Then this makes the last angle 90 degrees.
X/4-9=5
x/4=14
x=14/4
x=7/2
x=3.5