To solve the area formula \( A = \frac{1}{2} h b \) for \( b \), we can follow these steps:
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Start with the formula: \[ A = \frac{1}{2} h b \]
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Multiply both sides by 2 to eliminate the fraction: \[ 2A = h b \]
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Now, divide both sides by \( h \) to solve for \( b \): \[ b = \frac{2A}{h} \]
So the correct answer is: \[ b = \frac{2A}{h} \]