The area of a square checkerboard with side a is given by
[tex]A=a^2[/tex]So, the total area of three checkerboards will be
[tex]3\ast A=3\ast a^2[/tex]The total area of three boards is 243 sqare meters. So, we can write
[tex]\begin{gathered} 3a^2=243 \\ a^2=\frac{243}{3} \\ a^2=81 \\ a=9\text{ square meters} \end{gathered}[/tex]So, the length of each side of checkerboard is 9 square meters.
