Question

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=(a+b)2h

Answer 1

You are correct. The answer is choice C.

Step-by-step explanation:

We can solve for 'a' like so

`A = ((a+b))/(2)h\\\\2A = (a+b)h\\\\(2A)/(h) = a+b\\\\(2A)/(h)-b = a\\\\a = (2A)/(h)-b\\\\`

In the second step, I multiplied both sides by 2. Afterward, I divided both sides by h in the third step. Lastly, I subtracted b from both sides to isolate 'a' in step 4. Each step is following PEMDAS in reverse to undo every operation done to variable 'a'.