QuestionFill in the table for side length and area of different squares. Is the relationship between side length and area proportional?
$3$ cm, $\qquad \qquad \qquad \qquad \qquad$ $100$ cm, $\qquad \qquad \qquad \qquad \qquad$ $25$ cm, $\qquad \qquad \qquad \qquad \qquad$ $s$ cm, $\qquad \qquad \qquad \qquad \qquad$

Studdy Solution
Since the ratio of the area to the side length squared is constant (equal to 1) for all given side lengths, we can conclude that the relationship between the side length of a square and the area of a square is proportional.
The filled table is as follows:
\begin{tabular}{|c|c|} \hline side length $(\mathrm{cm})$ & area $\left(\mathrm{cm}^{2}\right)$ \\ \hline 3 & 9 \\ \hline 100 & 10,000 \\ \hline 25 & 625 \\ \hline $s$ & $s^2$ \\ \hline \end{tabular}
And the relationship between the side length of a square and the area of a square is proportional.