What is the perimeter of the figure in the diagram (round to three decimal places if necessary)?
a) 44
b) 36.472
c) 36
d) 28.472

Perimeter (p) = length around a shape.
So any horizontal sides we can add based upon their length in x-values and any vertical sides we can add based upon their length in y-values. The diagonal sides we can find by the distance formula:

So the bottom base goes from x=1 to x=8, then up 1, right 1, and up from y=3 to y=9, then left from x=9 to x=6, down from y=9 to y=6, left from x=6 to x=3.
So far that is: (8-1)+1+1+(9-3)+(9-6)+(9-6)+(6-3)
= 7+2+6+3+3+3 = 24
Now for the diagonal:

P = 24 + 4.47 = 28.47
D)28.472

A full rotation is 360 degrees, if the fan moves 75 degrees (360-75) the fan will have a total of 285 degrees left too rotate in order to make a single, full rotation.