Final answer:
Mr. Smith will need 180.88 feet of lumber for his rose garden, which is 56% of the total 323 feet he originally purchased.
Step-by-step explanation:
The question involves a mathematical calculation to determine the amount of lumber needed for a rose garden project. To find the amount of material Mr. Smith needs for his rose garden, which requires 56% of the total lumber he purchased, we perform the following calculation:
- Find out 56% of 323 feet of wood.
- Calculation: 0.56 × 323 feet = 180.88 feet.
- Therefore, Mr. Smith will need 180.88 feet of lumber for his rose garden.
This is a simple percentage problem where we calculate a certain percentage of a whole amount.