Question

what is the area of rectangle vwxy? area = square units

Explanation:

Step1: Find the length of the horizontal side.

Looking at the coordinates, the horizontal distance between points (let's assume W is at (-8, -6) and V is at (0, -6)) is the absolute difference of the x - coordinates. So, the length \( l=\vert - 8-0\vert=8\) units.

Step2: Find the length of the vertical side.

The vertical distance between points (V is at (0, -6) and Y is at (0, -8)) is the absolute difference of the y - coordinates. So, the length \( w=\vert - 6-(-8)\vert=\vert - 6 + 8\vert = 2\) units.

Step3: Calculate the area of the rectangle.

The formula for the area of a rectangle is \( A=l\times w\). Substituting \( l = 8\) and \( w=2\), we get \( A = 8\times2=16\) square units.

Answer:

16