Answer:
12cm
Step-by-step explanation:
Shortest side = [tex]\frac{1}{4}x[/tex]
Other side = [tex]\frac{3}{4}x[/tex]
Longest side = [tex]x[/tex]
[tex]24 = x + \frac{1}{4}x + \frac{3}{4}x\\24 = 2x\\12 = x[/tex]
Therefore, longest side is equal to 12cm.