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?

Question

A. 15.8 units

B. 16.9 units

C. 17.8 units

D. 18.6 units

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Answer 1 · 2017-06-09T17:32:34

#17.837882267736525089044823366066...#

#A = (0, 3) ; B = (2,3) ; C = (2, 0)#
#D = (1, -4) ; E = (-2, -1)#

#|AB| = 2#
#|BC| = 3#
#|CD| = sqrt {1^2 + 4^2} = sqrt 17#
#|DE| = sqrt {3^2 + 3^2} = 3 sqrt 2#
#|EA| = sqrt {2^2 + 4^2} = 2 sqrt 5#