To find out how many shows Rashid's band would play in 72 days, we first determine the rate at which they perform.
Rashid's band played 4 shows in 9 days.
To find the number of shows per day, we calculate:
\[ \text{Shows per day} = \frac{4 \text{ shows}}{9 \text{ days}} \approx 0.444 \text{ shows per day} \]
Now, to find out how many shows they would perform in 72 days, we multiply the number of shows per day by the total number of days:
\[ \text{Total shows in 72 days} = 0.444 \text{ shows/day} \times 72 \text{ days} = \frac{4}{9} \times 72 \]
Calculating that:
\[ \frac{4 \times 72}{9} = \frac{288}{9} = 32 \]
Therefore, Rashid's band would play 32 shows in 72 days.
So the answer is D. 32 shows.