Answer:
15 cm
Step-by-step explanation:
If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.
If the perimeter is 54, we can create the following equation regarding the length of each side
[tex]5x+4x+5x+4x=54\\\\18x=54\\\\x=3[/tex]
As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side
[tex]5x\\\\5(3)\\\\15[/tex]
