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 vertices W(0, 0), X(0, 3), Y(-3, 3), Z(-3, 0) form a rectangle.

Step2: Calculate length and width

The length of the rectangle (distance between X(0, 3) and W(0, 0)) is $l = 3$ units. The width (distance between X(0, 3) and Y(-3, 3)) is $w=3$ units.

Step3: Use area formula

The area formula for a rectangle is $A = l\times w$. Substituting $l = 3$ and $w = 3$, we get $A=3\times3 = 9$.

Answer:

9