Answer:
[tex]b = \frac{2A -Bh}{h}[/tex]
Step-by-step explanation:
The given relation is :
[tex]A = \frac{1}{2} (B + b)h[/tex]
We want to solve for b
We multiply both sides by 2 to get
[tex]2A = (B + b)h[/tex]
Divide through by h
[tex] \frac{2A}{h} =B + b[/tex]
Subtract B from both sides
[tex]\frac{2A}{h} - B = b[/tex]
We now simplify the left hand side to get
[tex]\frac{2A -Bh}{h}=b[/tex]
Or
[tex]b = \frac{2A -Bh}{h}[/tex]
