Respuesta :

The formula is

[tex]A=\frac{(a+b)\cdot h}{2}[/tex]

To solve for b, first, we multiply the equation by 2

[tex]\begin{gathered} 2A=2\cdot\frac{(a+b)\cdot h}{2} \\ 2a=(a+b)\cdot h \end{gathered}[/tex]

Then, we divide the equation by h

[tex]\begin{gathered} \frac{2A}{h}=\frac{(a+b)h}{h} \\ \frac{2A}{h}=a+b \end{gathered}[/tex]

At last, we subtract a from each side

[tex]\frac{2A}{h}-a=a-a+b[/tex]

Hence, the final expression is

[tex]b=\frac{2A}{h}-a[/tex]