Question
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?
Ask by Mejia Howell. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The length of the shorter piece is \(\frac{11}{5}\) feet.
Solution
The board is originally 11 feet long. The shorter piece is \(\frac{1}{5}\) of the total length.
To find the length of the shorter piece, multiply the total length by \(\frac{1}{5}\):
\[
\text{Length of shorter piece} = \frac{1}{5} \times 11 = \frac{11}{5} \text{ feet}
\]
So, the expression representing the length of the shorter piece is:
\[
\frac{11}{5} \text{ feet}
\]
**Answer:** \(\dfrac{11}{5}\) feet
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
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!
