Rewrite the formula, for the area of a trapezoid, to solve for the length of a base, the variable b1: A = b1 + b2 / 2h.

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The formula for the area of a trapezoid is A = (b1 + b2) / 2 * h, where b1 and b2 are the lengths of the parallel bases, and h is the height of the trapezoid.

To solve for the length of one of the bases, b1, we need to isolate it on one side of the equation.

First, we can simplify the right-hand side of the equation by multiplying 2h to both sides:

A * 2h = (b1 + b2)

Next, we can isolate b1 by subtracting b2 from both sides:

A * 2h - b2 = b1

So the formula to solve for the length of one of the bases of a trapezoid is:

b1 = A * 2h - b2

Therefore, if we know the area, height, and the length of one base (b2) of a trapezoid, we can use this formula to find the length of the other base (b1).