Question

A=1/2(B+b)h ; solve for b.

Answer 1

`b = (2A -Bh)/(h)`

Explanation:

The given relation is :

`A = (1)/(2) (B + b)h`

We want to solve for b

We multiply both sides by 2 to get

`2A = (B + b)h`

Divide through by h

`(2A)/(h) =B + b`

Subtract B from both sides

`(2A)/(h) - B = b`

We now simplify the left hand side to get

`(2A -Bh)/(h)=b`

Or

`b = (2A -Bh)/(h)`