Blake cuts a board that is 11 feet long into two pieces of different lengths. The shorter is \( \frac{1}{5} \) of the total length. Which expression represents the length of the shorter piece?

To find the length of the shorter piece, we can calculate \( \frac{1}{5} \) of the total length of the board, which is 11 feet. So, we multiply: \[ \text{Shorter piece length} = \frac{1}{5} \times 11 \] This results in: \[ \text{Shorter piece length} = \frac{11}{5} \text{ feet} \text{ or } 2.2 \text{ feet} \] Now, for the length of the longer piece, you can subtract the length of the shorter piece from the total length. This can be expressed as: \[ \text{Longer piece length} = 11 - \frac{11}{5} \] By following these calculations, you can clearly understand how the pieces are determined!