Question

A=12h(a+b) Solve for h.

Answer 1

Answer:

$h=\frac{A}{12a+12b}$

Step-by-step explanation:

Solve for h, means that you have to clear h.

We have the expression $A=12h(a+b)$

We can divide both sides of the equation in (a+b):

$A=12h(a+b)\\\frac{A}{(a+b)}=\frac{12h(a+b)}{(a+b)}\\\\\frac{A}{(a+b)}=12h$

Now divide again both sides of the equation in 12.

$\frac{A}{(a+b)}=12h\\\\\frac{A}{12(a+b)} =\frac{12h}{12}\\\\\frac{A}{12a+12b} =h$

Observation: Distributive property: $c(a+b)=ca+cb$, then: $12(a+b)=12a+12b$

The answer is: $h=\frac{A}{12a+12b}$