Answer:
P ≈ 37.07752081
Step-by-step explanation:
LN = 9 Count
AL = 9 Count
Use the distance formula to find ND:
[tex]d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }[/tex] Distance formula
N(6,5), D(9,-1)
[tex]\sqrt{(9-6)^{2}+([-1]-5)^{2}}[/tex] Plug in
[tex]3\sqrt{5}[/tex]
ND = [tex](3\sqrt{5}[/tex]
Use the distance formula to find DA:
D(9,-1), A(-3,-4)
[tex]d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }[/tex] Distance formula
D(9,-1), A(-3,-4)
[tex]\sqrt{([-3]-9)^{2}+([-4]-[-1])^{2}}[/tex] Plug in
[tex]3\sqrt{17}[/tex]
DA = [tex]3\sqrt{17}[/tex]
Part two
LN = 9
ND = [tex](3\sqrt{5}[/tex]
AL = 9
DA = [tex]3\sqrt{17}[/tex]
P = LN + ND + AL + DA Perimeter = sum of the measures of all sides
P = 9 + [tex](3\sqrt{5}[/tex] + 9 + [tex]3\sqrt{17}[/tex]
P ≈ 37.07752081
