To rearrange the equation for the surface area \( S \) of a square pyramid \( S = \frac{1}{2} LP + B \) for the quantity of interest \( B \), we can isolate \( B \) on one side of the equation.
Here's how to do it step by step:
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Start with the original equation: \[ S = \frac{1}{2} LP + B \]
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Subtract \( \frac{1}{2} LP \) from both sides: \[ S - \frac{1}{2} LP = B \]
So, the rearranged equation for \( B \) is: \[ B = S - \frac{1}{2} LP \]