Question

6 the side length of a square that has an area of 20 cm² is between which two values in the table? cm cm

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 20\ cm^{2}$, then $s=\sqrt{20}$.

Step2: Find square - root approximations

We know that $4^{2}=16$ and $5^{2}=25$. Since $16<20<25$, then $\sqrt{16}<\sqrt{20}<\sqrt{25}$, which simplifies to $4 < \sqrt{20}<5$.

Answer:

4 cm, 5 cm