Final answer:
Dana can cut 6 pieces of 34-foot long lumber from a 222-foot piece by dividing the total length by the length of each piece and rounding down to the nearest whole number. The correct option is a.
Step-by-step explanation:
To calculate how many 34-foot pieces Dana can cut from a 222-foot piece of lumber, we divide the total length of the lumber by the length of each piece required.
- Divide 222 feet by 34 feet to find the number of pieces that can be cut. 222 ÷ 34 = 6.5294117647.
- Since Dana cannot cut a fraction of a piece of lumber, she will only be able to cut whole pieces. So, we round down the result to the nearest whole number, which is 6.
Therefore, Dana can cut 6 pieces of lumber that are each 34 feet long from the 222-foot piece of lumber. The correct answer is option (a) 6 pieces.