Question

9 the side length of a square that has an area of 60 cm² is between which two values in the table? cm cm

Explanation:

Step1: Recall the area formula of a square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 60\ cm^{2}$, then $s=\sqrt{60}$.

Step2: Find the perfect - square values around 60

We know that $7^{2}=49$ and $8^{2}=64$. Since $49<60<64$, then $\sqrt{49}<\sqrt{60}<\sqrt{64}$.

Step3: Simplify the square - root inequalities

$\sqrt{49} = 7$ and $\sqrt{64}=8$, so $7<\sqrt{60}<8$.

Answer:

7 cm, 8 cm