How do you solve for b2 in the expression A = 1/2 * h * (b1 + b2) given that a = 16, h = 4, and b1 = 3?

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To solve for b2 in the formula A = 1/2 * h * (b1 + b2), where you know the values of A, h, and b1, you can follow these steps:

  1. Substitute the known values into the formula.
  2. The values provided are: A = 16, h = 4, and b1 = 3.
  3. The formula becomes: 16 = 1/2 * 4 * (3 + b2).
  4. Now, simplify the equation:
  5. First, calculate 1/2 * 4, which gives you 2.
  6. Now the equation looks like this: 16 = 2 * (3 + b2).
  7. To isolate 3 + b2, divide both sides of the equation by 2: 16 / 2 = 3 + b2.
  8. This simplifies to: 8 = 3 + b2.
  9. Next, solve for b2 by subtracting 3 from both sides:
  10. b2 = 8 – 3.
  11. This results in: b2 = 5.

So the value of b2 is 5.

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