Let the shorter side of the rectangle be x cm. Then, the longer side will be 2x cm.
Perimeter of the rectangle is given by the sum of all four sides:
2x + 2(2x) = 24
Simplify the equation:
2x + 4x = 24
6x = 24
Divide by 6 on both sides:
x = 4
So, the shorter side of the rectangle is 4 cm and the longer side is 2 \times 4 = 8 cm.
\textbf{Answer:} The shorter side of the rectangle is 4 cm.