Answer:
l = 2.25 cm
Step-by-step explanation:
given l is inversely proportional to w² then the equation relating them is
l =
← 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 )
36 = k
l =
← equation of proportion
(ii)
when w = 4 , then
l =
=
= 2.25 cm
Remember that x/4 and 1/4*x is the same thing.
1/4*52 is therefore the same as 52/4. Fractions represent division, so 52 divided by 4 is also correct.
0.25*x is the same as 1/4*x because 1/4=0.25
4% of 52 is incorrect because the decimal form of 4% is 0.04, which is not the same as 0.25
Final answer: B