Perimeter of a polygon
The consecutive vertices of a polygon are
and
. Find the perimeter of this polygon. Give your answer correct to six decimal places.
The answer is 30.096615.
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1 solution
a = ( 3 − 7 ) 2 + ( 6 − 3 ) 2 = 1 6 + 9 = 5
b = ( − 6 − 3 ) 2 + ( 4 − 6 ) 2 = 8 1 + 4 = 8 5
c = ( − 5 + 6 ) 2 + ( 1 − 4 ) 2 = 1 + 9 = 1 0
d = ( 0 + 5 ) 2 + ( 0 − 1 ) 2 = 2 5 + 1 = 2 6
e = ( 7 − 0 ) 2 + ( 3 − 0 ) 2 = 4 9 + 9 = 5 8
The desired answer is 3 0 . 0 9 6 6 1 5 .