Answer:
A = 12
Step-by-step explanation:
Given A is inversely proportional to B then the equation relating them is
A = [tex]\frac{k}{B}[/tex]
To find k use the condition when A = 4, B = 36 , then
4 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
144 = k
A = [tex]\frac{144}{B}[/tex] ← equation of variation
When B = A , then
A = [tex]\frac{144}{A}[/tex] ( multiply both sides by A )
A² = 144 ( take square root of both sides )
A = ± [tex]\sqrt{144}[/tex] = ± 12
Since A is a positive number then A = 12
