Area Comparison of Rectangle and Square

Consider two geometric shapes: a rectangle and a square. The rectangle has a length that is twice its width. The width of the rectangle is 4 units. The square has a side length equal to the width of the rectangle.

Determine which shape has a larger area and by how much.

Recall the formula for the area of a rectangle is given by $A = ext{length} \times ext{width}$ and for a square by $A = ext{side}^2$.