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 square. The side - length can be found by calculating the distance between two adjacent vertices.

Step2: Calculate the side - length

The distance between $W(0,0)$ and $X(0,3)$ is $d=\sqrt{(0 - 0)^2+(3 - 0)^2}=3$. Or the distance between $X(0,3)$ and $Y(-3,3)$ is $d=\sqrt{(-3 - 0)^2+(3 - 3)^2}=3$.

Step3: Use the area formula for a square

The area formula for a square is $A = s^2$, where $s$ is the side - length. Here $s = 3$, so $A=3\times3$.

Answer:

9