Question

The formula for the area of a trapezoid is A = ;(b, + b,)h. Solve the formula for h.

Answer 1

`(A)/(2b) = h` with your formula but

`(2a)/(a+b) = h` with the formula for the area of a trapezoid.

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:

`(A)/(2b) = (2bh)/(2b)`

`(A)/(2b) = h`

However, the formula for the area of a trapezoid is:

`A = (a+ b)/(2)h`

So to solve for h, first, we must multiply both sides by 2:

`A * 2 = ((a+ b)/(2)h) *2 = 2A = h(a+b)`

2A = h(a+b)

Now, divide both sides by (a+b)

`(2a)/((a+b)) = (h(a+b))/((a+b))`

Which cancels down to:

`(2a)/(a+b) = h`

Hope this helps!