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lf b varies as the square of l and as n and b=12 when l=3 and n=6 find b when l=6 and n=6​ -

lf b varies as the square of l and as n and b=12 when l=3 and n=6 find b when l=6 and n=6​ -

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Guest [Entry]

"Joint variation

Question

If b varies as the square of l and as n and b=12 when l=3 and n=6 find b when l=6 and n=6​.

First step:Translate the given problem into Mathematical equation.

B=K3²6

Second step:Determine the value of the constant variation K.

B²=K3²6

1728=(K)18*6

1728=K108

108__108

16=K

K=16

Third step:Write the equation of variation.

B=Kl²N

Fourth step:Solve for the unknown.

B=16l²N

B=16*36*6

B=3456

The value of B is 3456 when l is 6 and N=6."