Question

find the area of the polygon with the given vertices. w(0, 0), x(0, 3), y(-3, 3), z(-3, 0). the area is square units.

Explanation:

Step1: Identify the polygon type

The given vertices form a rectangle. The length along the x - axis is from \(x = 0\) to \(x=- 3\), so the length \(l = 3\) units. The length along the y - axis is from \(y = 0\) to \(y = 3\), so the width \(w=3\) units.

Step2: Use the rectangle area formula

The area formula for a rectangle is \(A=l\times w\). Substituting \(l = 3\) and \(w = 3\) into the formula, we get \(A=3\times3\).

Answer:

9