Answer:
l = 2.25 cm
Explanation:
given l is inversely proportional to w² then the equation relating them is
l = 
 ← k is the constant of proportion
 ← k is the constant of proportion
(i)
to find k use the condition w = 1.5 , l = 16 , then
16 = 
 =
 = 
 ( multiply both sides by 2.25 )
 ( multiply both sides by 2.25 )
36 = k
l = 
 ← equation of proportion
 ← equation of proportion
(ii)
when w = 4 , then
l = 
 =
 = 
 = 2.25 cm
 = 2.25 cm