Hint:
Assume the size of Lauren's room as 'x'
Luke's Room = 1.5x = 1.5x
Lisa' Room = 1/2 of Luke = 1.5x)/2 = 0.75x
Lachlan's Room = 2x
We know that,
Lachlan's room = 32 square meters
2x = 32 square meters
x = 16 square meters
Luke's Room = 1.5x = 1.5 * 16 = 24 square meters
