ANSWER
[tex]0.01\operatorname{cm}[/tex]
EXPLANATION
To find the area of the microchip, we first need to find its length.
The diagonal of a square is related to the length of its sides as follows:
[tex]d=l\sqrt[]{2}[/tex]
where l = length of the side of the square
Therefore, this means that:
[tex]l=\frac{d}{\sqrt[]{2}}[/tex]
Therefore, the length of the side of the microchip is:
[tex]\begin{gathered} l=\frac{0.141422}{\sqrt[]{2}} \\ l=0.1\operatorname{cm} \end{gathered}[/tex]
The area of a square is given as:
[tex]A=l^2[/tex]
Therefore, the area of the microchip is:
[tex]\begin{gathered} A=0.1^2 \\ A=0.01\operatorname{cm}^2 \end{gathered}[/tex]
[tex]\begin{gathered} A=0.1^2 \\ A=0.01\operatorname{cm}^2 \end{gathered}[/tex]
