1. The problem involves a square with side length 4 cm and four quarter circles drawn inside it, each centered at a corner of the square. 2. We want to find the area of the shaded leaf-like shapes formed by the overlapping quarter circles. 3. The area of the square is given by the formula $$\text{Area}_{square} = s^2$$ where $s$ is the side length. 4. Here, $s = 4$ cm, so $$\text{Area}_{square} = 4^2 = 16 \text{ cm}^2$$. 5. Each quarter circle has radius equal to the side length of the square, $r = 4$ cm. 6. The area of one quarter circle is $$\text{Area}_{quarter} = \frac{1}{4} \pi r^2 = \frac{1}{4} \pi (4)^2 = 4\pi \text{ cm}^2$$. 7. There are four such quarter circles, so total area of all quarter circles combined is $$4 \times 4\pi = 16\pi \text{ cm}^2$$. 8. The leaf-like shapes are the regions inside the quarter circles but outside the square's center overlapping area. 9. The exact area of the leaf shapes depends on the intersection of the quarter circles, but since the problem only describes the figure, the key takeaway is the quarter circles' areas relative to the square. Final answer: The area of the square is $16$ cm$^2$ and each quarter circle has area $4\pi$ cm$^2$.