The area of a trapezoid is shown below. Solve the formula for the variable h.

I'm sorry, but you didn't provide the formula or the area of the trapezoid. However, I can tell you how to solve for h (height) in the general formula for the area of a trapezoid.

The formula for the area (A) of a trapezoid is:

A = 1/2 * (b1 + b2) * h

where: b1 and b2 are the lengths of the two bases (parallel sides) of the trapezoid, and h is the height of the trapezoid (the perpendicular distance between the bases).

To solve this formula for h, you would:

1. Multiply both sides of the equation by 2 to get rid of the fraction on the right side. This gives you:

2A = (b1 + b2) * h

2. Then, divide both sides of the equation by (b1 + b2) to isolate h on one side of the equation. This gives you:

h = 2A / (b1 + b2)

So, if you know the area of the trapezoid and the lengths of the two bases, you can substitute those values into this equation to solve for the height.