Answer:
[tex]\displaystyle b_2=\frac{2A}{h}-b_1[/tex]
Step-by-step explanation:
Equation Solving
Given the formula:
[tex]\displaystyle A=\frac{1}{2}h(b_1+b_2)[/tex]
It's required to solve it for b2.
First, we eliminate denominators by multiplying by 2:
[tex]\displaystyle 2A=h(b_1+b_2)[/tex]
Divide by h:
[tex]\displaystyle \frac{2A}{h}=b_1+b_2[/tex]
Subtract b1:
[tex]\displaystyle \frac{2A}{h}-b_1=b_2[/tex]
Write the new formula:
[tex]\boxed{\displaystyle b_2=\frac{2A}{h}-b_1}[/tex]
