Answer:
l = 2.25 cm
Step-by-step explanation:
given l is inversely proportional to w² then the equation relating them is
l = [tex]\frac{k}{w^2}[/tex] ← k is the constant of proportion
(i)
to find k use the condition w = 1.5 , l = 16 , then
16 = [tex]\frac{k}{1.5^2}[/tex] = [tex]\frac{k}{2.25}[/tex] ( multiply both sides by 2.25 )
36 = k
l = [tex]\frac{36}{w^2}[/tex] ← equation of proportion
(ii)
when w = 4 , then
l = [tex]\frac{36}{4^2}[/tex] = [tex]\frac{36}{16}[/tex] = 2.25 cm
