$(1$ point$)$ The table below gives values of $f(x,y),$ the number of milligrams of mosquito larvae per square meter in a swamp.

$\backslash$table$[[,x=0x=6x=12,,],[y=0,1,3,6],[y=3,2,6,11],[y=6,5,10,16]]$

If $x$ and $y$ are in meters and $R$ is the rectangle $0x12,0y6,$ estimate ${\displaystyle \underset{R}{\overset{\phantom{}}{}}}f(x,y)dA.$ Consider averaging an over and under estimate of the integral.

${\displaystyle \underset{R}{\overset{\phantom{}}{}}}f(x,y)dA$~~

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$($Include units in your answer.$)$