1) Since the area of a square is given by:
[tex]S=a^2[/tex]2) Let's plug into that the measure of their sides, 4 1/4m let's turn this Mixed Number into an improper fraction to make our calculations easier:
[tex]4\frac{1}{4}=\frac{4\times4+1}{4}=\frac{17}{4}[/tex]Notice that we keep the denominator, and multiply it by the whole number and then add to that numerator to get this improper fraction. Now let's plug it into that formula
[tex]\begin{gathered} S=(\frac{17}{4})^2 \\ S=\frac{289}{16}^{} \end{gathered}[/tex]Now let's turn it back to a Mixed Number, dividing 289 by 16. Since the answers are all Mixed Numbers.
3) Hence, the answer is 18 1/16 m²