Answer:
[tex]\frac{A}{2b} = h[/tex] with your formula but
[tex]\frac{2a}{a+b} = h[/tex] with the formula for the area of a trapezoid.
Step-by-step explanation:
A = (b + b)h
You mentioned that this is the area for a trapezoid, I will answer giving the formula you have provided however I will also include an explanation for the actual area for the trapezoid as the one you provided is inaccurate.
A = (b + b)h
Firstly, add together the two b variables:
A = 2bh
Now, divide both sides by 2b:
[tex]\frac{A}{2b} = \frac{2bh}{2b}[/tex]
[tex]\frac{A}{2b} = h[/tex]
However, the formula for the area of a trapezoid is:
[tex]A = \frac{a+ b}{2}h[/tex]
So to solve for h, first, we must multiply both sides by 2:
[tex]A * 2 = (\frac{a+ b}{2}h) *2 = 2A = h(a+b)[/tex]
2A = h(a+b)
Now, divide both sides by (a+b)
[tex]\frac{2a}{(a+b)} = \frac{h(a+b)}{(a+b)}[/tex]
Which cancels down to:
[tex]\frac{2a}{a+b} = h[/tex]
Hope this helps!
