5. (3 points) As shown in the figure, in a $5 \times 8$ grid, the area of the shaded part is $37 \mathrm{~cm}^{2}$. Then the area of the non-shaded part is ( ) $\mathrm{cm}^{2}$.
A. 43
B. 74
C. 80
D. 111
【Analysis】As shown in the figure, in a $5 \times 8$ grid, the shaded part occupies 18.5 grids, and the non-shaded part occupies 21.5 grids; the area of the shaded part is $37 \mathrm{~cm}^{2}$. According to this, we can find the area of each grid, and then calculate the area of the non-shaded part.

【Solution】Solution: As shown in the figure,
the shaded part occupies 18.5 grids, with an area of $37 \mathrm{~cm}^{2}$,
the area of each grid is: $37 \div 18.5=2\left(\mathrm{~cm}^{2}\right)$;
the non-shaded part occupies 21.5 grids, and its area is: $21.5 \times 2=43\left(\mathrm{~cm}^{2}\right)$;
Answer: The area of the non-shaded part is $43 \mathrm{~cm}^{2}$;
Therefore, the correct choice is: A.