\( \leftarrow \begin{array}{l}\text { A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangular section is } 7 \text { feet shorter than } \\ \text { twice the shortest side. The third side is } 6 \text { feet longer than the shortest side. The perimeter is } 59 \text { feet. How long is each side? }\end{array} \)

Let the length of the shortest side be \( x \) feet. According to the problem: - The longest side can be expressed as \( 2x - 7 \) feet. - The third side is \( x + 6 \) feet. From the perimeter information, we have: \[ x + (2x - 7) + (x + 6) = 59 \] Combining like terms, we simplify the equation: \[ 4x - 1 = 59 \] Adding 1 to both sides gives: \[ 4x = 60 \] Dividing by 4 results in: \[ x = 15 \] Now we can find the lengths of each side: - Shortest side: \( x = 15 \) feet - Longest side: \( 2x - 7 = 2(15) - 7 = 30 - 7 = 23 \) feet - Third side: \( x + 6 = 15 + 6 = 21 \) feet So the sides of the triangular section are 15 feet, 23 feet, and 21 feet.