how do I explain the process of this problem

A=1/2h(a+b)?

I guess it depends on what you are trying to do...

height times average of a and b

To explain the process of solving the problem A = 1/2h(a + b), we will break it down step by step:

Step 1: Understand the variables
- A represents the area of a shape.
- h is the height of the shape.
- a and b are the lengths of the two parallel sides of the shape.

Step 2: Determine the formula
- The formula for finding the area of a trapezoid is A = 1/2 * height * (sum of the lengths of the parallel sides).
- In this case, A = 1/2h(a + b) is the formula for finding the area of a trapezoid.

Step 3: Plug in the values
- In order to find the area of a trapezoid using this formula, you need to know the values of h, a, and b. Plug these values into the formula.
- For example, if h = 4, a = 5, and b = 7, then the formula becomes A = 1/2 * 4 * (5 + 7).
- Calculate the values inside the parentheses first: A = 1/2 * 4 * 12.
- Then, multiply 4 by 12: A = 1/2 * 48.
- Finally, divide 48 by 2: A = 24.

Step 4: Simplify the equation
- If needed, simplify the equation.
- In the given problem, A = 1/2h(a + b) cannot be simplified further.

Step 5: Interpret the answer
- The final result, 24, represents the area of the trapezoid with a height of 4 units and side lengths of 5 and 7 units.
- Make sure to include units in your answer to accurately represent the area of the shape.