Question

solve the formula (a = \frac{1}{2}bh) for (b):

a) (b = \frac{a}{2h})
b) (b = \frac{2a}{h})
c) (b = 2ah)
d) (b = \frac{h}{2a})

Explanation:

State the given formula

Using the Solving Multi-Step Equations knowledge point

$$ A = \frac{1}{2}bh $$

Multiply both sides by 2

Using the Solving Multi-Step Equations knowledge point

$$ 2A = bh $$

Isolate the variable b

Using the Solving Multi-Step Equations knowledge point

$$ b = \frac{2A}{h} $$

Answer:

• A) \(b = \frac{A}{2h}\)
• B) \(b = \frac{2A}{h}\) (Correct answer)
• C) \(b = 2Ah\)
• D) \(b = \frac{h}{2A}\)