This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Calculate the total area of the rectangle. The area of a rectangle is given by the formula .
Step 2: Calculate the shaded area. Given that of the rectangle is shaded, we multiply the total area by this fraction.
Step 3: Calculate the unshaded area. The unshaded area is the total area minus the shaded area. The unshaded part of the rectangle is .
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Calculate the total area of the rectangle. The area of a rectangle is given by the formula Area = length × width.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.