Solution:
Given:
A polygon on a grid.
Question 2a:
The length of each side of the polygon on the grid is given by;
[tex]\begin{gathered} N1=13\text{units} \\ E1=7\text{units} \\ S1=5\text{units} \\ W2=4\text{units} \\ S2=8\text{units} \\ W1=3\text{units} \end{gathered}[/tex]
Question 2b:
Perimeter is the sum of the outer sides enclosing a shape.
Hence, the perimeter of the factory is;
[tex]P=N1+E1+S1+W2+S2+W1[/tex]
Thus,
[tex]\begin{gathered} P=N1+E1+S1+W2+S2+W1 \\ P=13+7+5+4+8+3 \\ P=40\text{units on the grid} \\ \\ \text{But each unit on the grid represents 25 f}eet. \\ \text{Hence, } \\ P=40\times25 \\ P=1000\text{feet} \end{gathered}[/tex]
Therefore, the perimeter of the factory is 1000 feet.