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The large rectangle below represents one whole. What percent is represented by the shaded area?

Question

The large rectangle below represents one whole.

What percent is represented by the shaded area?

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Solution

To determine the percentage represented by the shaded area of the rectangle, you would typically follow these steps:

1. Break Down the Problem

  1. Identify the total area of the rectangle (the whole).
  2. Determine the area of the shaded portion.
  3. Calculate the percentage representing the shaded area relative to the total area.

2. Relevant Concepts

  • The formula for percentage is given by: Percentage=(PartWhole)×100 \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

3. Analysis and Detail

  1. Let's denote the total area of the rectangle as AtotalA_{\text{total}}, and the area of the shaded region as AshadedA_{\text{shaded}}.
  2. Using the percentage formula, Percentage of shaded area=(AshadedAtotal)×100 \text{Percentage of shaded area} = \left( \frac{A_{\text{shaded}}}{A_{\text{total}}} \right) \times 100

4. Verify and Summarize

Make sure the values for AshadedA_{\text{shaded}} and AtotalA_{\text{total}} are accurate and recalculate if necessary.

Final Answer

Once the area values are plugged into the formula, you will get the percentage of the shaded area. Please provide the specific measurements or relative areas of the shaded and total rectangle to perform the final calculation.

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