Question

Solve for H in terms of A, W, and H: A = 2W + 2WH + 2H

a) H = (A - 2W) / (2W + 2)
b) H = (A - 2W) / (2W - 2)
c) H = (A - 2W) / (2 + 2W)
d) H = (A - 2W) / (2W)

Answer 1

To solve for H in terms of A, W, and H, subtract 2W from both sides of the equation, factor out H, and then divide both sides by (2W + 2).

Step-by-step explanation:

To solve for H in terms of A, W, and H, we need to isolate H on one side of the equation. Start by subtracting 2W from both sides of the equation to get A - 2W = 2WH + 2H. Next, factor out H from the right side of the equation to get A - 2W = H(2W + 2). Finally, divide both sides of the equation by (2W + 2) to solve for H: H = (A - 2W) / (2W + 2).