Question

James has 3 perfectly square checkerboards. The total area of his 3 checkerboards is 243 square meters. What is the length of each side of each of his checkerboard?

Answer 1

The area of a square checkerboard with side a is given by

`A=a^2`

So, the total area of three checkerboards will be

`3\ast A=3\ast a^2`

The total area of three boards is 243 sqare meters. So, we can write

`\begin{gathered} 3a^2=243 \\ a^2=(243)/(3) \\ a^2=81 \\ a=9\text{ square meters} \end{gathered}`

So, the length of each side of checkerboard is 9 square meters.