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

The total length of the board is 11 feet. The shorter piece is \( \frac{1}{5} \) of the total length. To find the length of the shorter piece, you can set up the following expression: \[ \text{Length of shorter piece} = \frac{1}{5} \times 11 \] Simplifying this: \[ \frac{1}{5} \times 11 = \frac{11}{5} \text{ feet} \] So, the expression that represents the length of the shorter piece is: \[ \frac{11}{5} \text{ feet} \] Alternatively, you can write it as: \[ 2.2 \text{ feet} \] **Answer:** The length of the shorter piece is 11⁄5 feet, that is 11/5 ft.