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A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square.


What is the side length of the square in centimeters?

Respuesta :

semsee45

Answer:

9 cm

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.5 cm}\underline{Area of a square}\\\\$A=s^2$\\\\where:\\ \phantom{ww}$\bullet$ $A$ is the area\\ \phantom{ww}$\bullet$ $s$ is the side length\\\end{minipage}}[/tex]

Given:

  • A = 81 cm²
  • s = c

Substitute the given values into the formula:

[tex]\implies 81=c^2[/tex]

[tex]\implies \sqrt{c^2}=\sqrt{81}[/tex]

[tex]\implies c=9[/tex]

Therefore, the side length of the square is 9 cm.

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