1. **Problem statement:** We need to draw a rectangle in a Cartesian coordinate system with width 80 units and height 60 units. The top left corner of the rectangle is at coordinates $(20, 20)$. 2. **Understanding the rectangle's coordinates:** - The top left corner is at $(20, 20)$. - Since the width is 80 units, the top right corner will be at $(20 + 80, 20) = (100, 20)$. - The height is 60 units, so the bottom left corner will be at $(20, 20 - 60) = (20, -40)$ because the y-coordinate decreases going down. - The bottom right corner will be at $(100, -40)$. 3. **Summary of rectangle vertices:** - Top left: $(20, 20)$ - Top right: $(100, 20)$ - Bottom left: $(20, -40)$ - Bottom right: $(100, -40)$ 4. **Equation of rectangle sides:** - Top side: $y = 20$ for $20 \leq x \leq 100$ - Bottom side: $y = -40$ for $20 \leq x \leq 100$ - Left side: $x = 20$ for $-40 \leq y \leq 20$ - Right side: $x = 100$ for $-40 \leq y \leq 20$ This fully specifies the rectangle in the Cartesian plane.