Area Comparison of Square and Rectangle

Consider two shapes: a square and a rectangle. The square has a side length of 4 units, while the rectangle has a length of 6 units and a width of 2 units. We want to compare the areas of these two shapes.

To find the area of the square, use the formula:

$$A_{square} = s^2$$

where $$s$$ is the length of a side. For the rectangle, the area is calculated using the formula:

$$A_{rectangle} = l imes w$$

where $$l$$ is the length and $$w$$ is the width. Based on these calculations, which shape has a larger area?