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

Jun 9, 2017

$17.837882267736525089044823366066 \ldots$

Explanation:

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

$| A B | = 2$
$| B C | = 3$
$| C D | = \sqrt{{1}^{2} + {4}^{2}} = \sqrt{17}$
$| D E | = \sqrt{{3}^{2} + {3}^{2}} = 3 \sqrt{2}$
$| E A | = \sqrt{{2}^{2} + {4}^{2}} = 2 \sqrt{5}$