The perimeter of the polygon will be 19.86 units.
Perimeter is defined as the sum of all the sides of any shape like a rectangle or polygons triangle etc.
Here we are having the points P(2,4), Q(3,-2), R(-2,-3), and S(-1,2).
The distance the between the points PQ, QR, RS, and SP will be calculated as:-
PQ = [tex]\sqrt{(3-2)^2+(-2-4)^2}[/tex] = 6.08
QR = [tex]\sqrt{(-2-3)^2+(-3+2)^2}[/tex] = 5.09
RS = [tex]\sqrt{(-1+2)^2+(2+3)^2}[/tex] = 5.09
SP = [tex]\sqrt{(2+1)^2+(4-2)^2}[/tex] = 3.6
The perimeter will be the sum of all the sides:-
P = 6.08 + 5.09 + 5.09 + 3.6
P = 19.86 units
Therefore the perimeter of the polygon will be 19.86 units.
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