The coordinates of the vertices of a polygon are (0,3), (2,3) (2,0), (1,-4) and (-2,-1).

What is the perimeter of the polygon to the nearest tenth of a unit?

A.) 15.8 units

B.) 16.9 units

C.) 17.8 units

D.) 18.6 units

Let the cordinates be A (0,3), B (2,3), C (2,0), D (1,-4) and E (-2,-1), then

The perimeter is the sum of the lengths of the line segments joining the coordinates.

Length of AB = 2 units

Length of BC = 3 units

Length of CD = sqrt ((1 - 2) ^2 + (-4) ^2) = sqrt (1 + 16) = sqrt (17) = 4.12 units

Length of DE = sqrt ((-1 - (-4)) ^2 + (-2 - 1) ^2) = sqrt (3^2 + (-3) ^2) = sqrt (9 + 9) = sqrt (18) = 4.24 units

Length of EA = sqrt ((0 - (-2)) ^2 + (3 - (-1)) ^2) = sqrt (2^2 + 4^2) = sqrt (4 + 16) = sqrt (20) = 4.47

Therefore, perimeter = 2 + 3 + 4.12 + 4.24 + 4.47 = 17.8 units.