Question

2. The polygon on the grid represents the floor plan of a factory. The manager labeled each side to describe it. For example, N1 means North 1. у 84 5 N1 W1 E1 S2 --10-8-8-7-6-5-4-3-2-11 B 1 2 3 W2 2 -3 si -6 (a) The polygon has six sides. Find the length of each side of the polygon. (b) Each unit on the grid represents 25 feet. Find the perimeter of the factory. Show your work. Denne

Answer 1

Given:

A polygon on a grid.

Question 2a:

The length of each side of the polygon on the grid is given by;

`\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}`

Question 2b:

Perimeter is the sum of the outer sides enclosing a shape.

Hence, the perimeter of the factory is;

`P=N1+E1+S1+W2+S2+W1`

Thus,

`\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*25 \\ P=1000\text{feet} \end{gathered}`

Therefore, the perimeter of the factory is 1000 feet.