Question

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

Answer 1

Answer:

$b = \frac{2A -Bh}{h}$

Step-by-step explanation:

The given relation is :

$A = \frac{1}{2} (B + b)h$

We want to solve for b

We multiply both sides by 2 to get

$2A = (B + b)h$

Divide through by h

$\frac{2A}{h} =B + b$

Subtract B from both sides

$\frac{2A}{h} - B = b$

We now simplify the left hand side to get

$\frac{2A -Bh}{h}=b$

Or

$b = \frac{2A -Bh}{h}$