Sure! Let's solve this problem step by step.
1. Determine the total length of the first set of pieces:
- Nicole bought 12 pieces of fabric with an average length of 3 feet each.
- To find the total length of these 12 pieces, multiply the number of pieces (12) by the average length (3 feet):
[tex]\[
\text{Total length of the first set} = 12 \times 3 = 36 \text{ feet}
\][/tex]
2. Determine the total length of the second set of pieces:
- The problem states that the total length of the remaining 8 pieces is 44 feet.
- Therefore, the total length of the second set is 44 feet.
3. Calculate the total length of all 20 pieces of fabric:
- To find the total length of all the pieces, sum the lengths of the first and second sets:
[tex]\[
\text{Total length of all pieces} = 36 \text{ feet} + 44 \text{ feet} = 80 \text{ feet}
\][/tex]
4. Calculate the average length of all 20 pieces of fabric:
- The total number of pieces is 20.
- To find the average length, divide the total length of all pieces by the total number of pieces:
[tex]\[
\text{Average length} = \frac{\text{Total length of all pieces}}{\text{Number of pieces}} = \frac{80 \text{ feet}}{20} = 4 \text{ feet}
\][/tex]
Therefore, the average length of the 20 pieces of fabric is 4 feet.
