Question

Solve the formula for b2.

Area of a trapezoid:
A =1/2h (b1 + b2)

Answer 1

To solve for b2 in the area of a trapezoid formula, multiply the equation by 2, divide by the height, and then subtract b1 from both sides.

Step-by-step explanation:

To solve the formula for b2 in the area of a trapezoid A = 1/2 h (b1 + b2), follow these steps:

1. Multiply both sides of the equation by 2 to get rid of the fraction: 2A = h(b1 + b2).
2. Divide both sides by the height h to isolate the base terms: 2A/h = b1 + b2.
3. Subtract b1 from both sides to solve for b2: b2 = (2A/h) - b1.

Now, b2 is expressed in terms of A (area of the trapezoid), h (height), and b1 (the first base).