1. **Problem:** The side length of a square is $\sqrt{27}$ inches. Select all expressions equal to the area of this square. 2. **Formula:** The area $A$ of a square with side length $s$ is given by: $$A = s^2$$ 3. **Calculate the area:** $$A = (\sqrt{27})^2$$ 4. **Simplify:** $$A = 27$$ 5. **Check each option:** - a) 5.2 (No, 5.2 is not equal to 27) - b) $27^2 = 729$ (No, too large) - c) 27 (Yes, matches the area) - d) $\sqrt{27}$ (No, this is the side length, not area) - e) $(\sqrt{27})^2 = 27$ (Yes, matches the area) **Final answer:** The expressions equal to the area are c) 27 and e) $(\sqrt{27})^2$.