Question

1. utilisez vos connaissances des racines carrées pour résoudre les longueurs des côtés des carrés. a = 64cm² a = 712 m² a = 9 mm² a = 88m²

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. So, $s=\sqrt{A}$.

Step2: Calculate side - length for $A = 64cm^{2}$

$s_1=\sqrt{64}=8cm$

Step3: Calculate side - length for $A = 712m^{2}$

$s_2=\sqrt{712}\approx26.7m$ (since $\sqrt{712}=\sqrt{4\times178}=2\sqrt{178}\approx2\times13.35 = 26.7$)

Step4: Calculate side - length for $A = 9mm^{2}$

$s_3=\sqrt{9}=3mm$

Step5: Calculate side - length for $A = 88m^{2}$

$s_4=\sqrt{88}\approx9.4m$ (since $\sqrt{88}=\sqrt{4\times22}=2\sqrt{22}\approx2\times4.69 = 9.38\approx9.4$)

Answer:

For $A = 64cm^{2}$, side - length is $8cm$; for $A = 712m^{2}$, side - length is approximately $26.7m$; for $A = 9mm^{2}$, side - length is $3mm$; for $A = 88m^{2}$, side - length is approximately $9.4m$