Question

A = (a + b)h/2 for a.

A) a + b = 2A/h
B) a = 2A/(h + b)
C) a = 2A/(h - b)
D) a = 2Ah/(h + b)

Answer 1

The process involves multiplying both sides by 2, then dividing by h, and finally subtracting b to solve for a in the equation A = (a + b)h/2. However, the correct form does not match any of the options provided exactly.

Step-by-step explanation:

The question is asking to solve for a in the equation A = (a + b)h/2. To isolate a, we need to manipulate the equation step by step:

1. Multiply both sides by 2 to get rid of the fraction: 2A = (a + b)h.
2. Divide both sides by h to isolate (a + b): 2A/h = a + b.
3. Subtract b from both sides to get a by itself: a = 2A/h - b.

Therefore, the correct form of the equation solved for a is a = 2A/h - b, which does not match any of the given options exactly since we cannot further simplify the expression without additional information.