Final answer:
The area of a square with each side measuring 5 \(\frac{2}{5}\) inches is 29.16 square inches, which does not match any of the answer choices provided.
Step-by-step explanation:
The area of a square is calculated by squaring the length of one of its sides. Given that the side of the square is 5 \(\frac{2}{5}\) inches, or 5.4 inches when converted to a decimal, we square this number to find the area:
Area = side \(\times\) side = 5.4 \(\times\) 5.4 = 29.16 square inches.
Therefore, none of the options A, B, C, or D are correct as the actual area is 29.16 square inches.