Answer: [tex]49/6units^{2}[/tex]
Step-by-step explanation:
You can convert from mixed number to fractions as following:
2 1/3=((2*3)+1)/3=7/3 units
3 1/2=((3*2)+1)/2=7/2 units
Then you can calculate the area of the rectangle as you can see below:
[tex]Area=lenght*width\\Area=7/2units*7/3units\\Area=49/6units^{2}[/tex]