Answer:
Perimeter is 35 units.
Step-by-step explanation:
A heptagon has 7 equal sides.
Given the length of two consecutive vertices, A(-2-5) and B(1,-9).
We can find the length of AB and multiply by 7.
Recall the distance formula;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of AB is
[tex]|AB|=\sqrt{(-2-1)^2+(-5--9)^2}[/tex]
[tex]|AB|=\sqrt{(-3)^2+(4)^2}[/tex]
[tex]\Rightarrow |AB|=\sqrt{9+16}[/tex]
[tex]\Rightarrow |AB|=\sqrt{25}[/tex]
[tex]\Rightarrow |AB|=5\:units[/tex]
Therefore the perimeter is [tex]7\times 5=35\:units[/tex].
