Remember that the formula of the area of a rectangle is
[tex]A=lw[/tex]Where l is the length and w is the width.
Then, we need to find all the possible pairs of numbers l and w such that
[tex]\begin{gathered} A=8 \\ \Rightarrow lw=8 \end{gathered}[/tex]The case given by the problem is 2*4=8 but there are many more, for example
[tex]\begin{gathered} l=1 \\ \Rightarrow1\cdot w=8 \\ \Rightarrow w=8 \\ \Rightarrow(l,w)=(1,8) \end{gathered}[/tex]Or even
[tex]\begin{gathered} l=3 \\ \Rightarrow3w=8 \\ \Rightarrow w=\frac{8}{3}=2.6666\ldots \end{gathered}[/tex]There are infinite rectangles with areas equal to 8cm^2
