Answer:
[tex]h=\frac{A}{12a+12b}[/tex]
Step-by-step explanation:
Solve for h, means that you have to clear h.
We have the expression [tex]A=12h(a+b)[/tex]
We can divide both sides of the equation in (a+b):
[tex]A=12h(a+b)\\\frac{A}{(a+b)}=\frac{12h(a+b)}{(a+b)}\\\\\frac{A}{(a+b)}=12h[/tex]
Now divide again both sides of the equation in 12.
[tex]\frac{A}{(a+b)}=12h\\\\\frac{A}{12(a+b)} =\frac{12h}{12}\\\\\frac{A}{12a+12b} =h[/tex]
Observation: Distributive property: [tex]c(a+b)=ca+cb[/tex], then: [tex]12(a+b)=12a+12b[/tex]
The answer is: [tex]h=\frac{A}{12a+12b}[/tex]
