Notice that:
[tex]Total\text{ Area=72m}^2+36m^2+72m^2+36m^2+2A=252m^2.[/tex]
Solving the above equation for A, we get:
[tex]\begin{gathered} 2A=252m^2-(\text{72m}^2+36m^2+72m^2+36m^2), \\ 2A=36m^2, \\ A=\frac{36m^2}{2}, \\ A=18m^2. \end{gathered}[/tex]
Now, recall that the area of a rectangle is given by the following formula:
[tex]Area=height*length.[/tex]
Therefore:
[tex]A=6m*?=18m^2.[/tex]
Solving for ?, we get:
[tex]?=\frac{18m^2}{6m}=3m.[/tex]
Answer:
The area of the missing face is
[tex]18m^2.[/tex]
The length of each missing side is:
[tex]3m.[/tex]
