7. Make b the subject of the equation A = 1 × 𝑏𝑏 × ℎ .
2
(a) b = 1 × 𝐴𝐴 × ℎ (b) b = 1 × 𝐴𝐴
2 2 ℎ
(c) b = 2 × 𝐴𝐴 × ℎ (d) b = 2 × 𝐴𝐴 ℎ
To make b the subject of the equation A = (1/2) × b^2 × h, we need to isolate b on one side of the equation. Here's how we can do it step by step:
1. Start with the given equation: A = (1/2) × b^2 × h.
2. Multiply both sides of the equation by 2 to eliminate the fraction: 2A = b^2 × h.
3. Divide both sides of the equation by h to isolate b^2: (2A) / h = b^2.
4. Take the square root of both sides of the equation to solve for b: √((2A) / h) = b.
So, the correct option is (b) b = √((2A) / h).