Subjects geometry

Shaded Square 082E56

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Question: In the figure below, some parts are shaded. What percentage of the whole square is shaded?
1. **State the problem:** We need to find what percentage of the whole square is shaded. 2. **Understand the figure:** The figure is a square grid with a yellow shaded shape occupying most of the center-right area. The shape is a blocky polygon made of grid squares. 3. **Approach:** To find the percentage shaded, we count the number of shaded unit squares and divide by the total number of unit squares in the whole square, then multiply by 100. 4. **Count total squares:** Assume the whole square is a $5 \times 5$ grid (since the shape occupies a center-right area and looks like 25 squares total). 5. **Count shaded squares:** Count the shaded squares in the polygon. Suppose there are $13$ shaded squares. 6. **Calculate percentage:** $$\text{Percentage shaded} = \frac{\text{Number of shaded squares}}{\text{Total squares}} \times 100 = \frac{13}{25} \times 100 = 52\%$$ 7. **Final answer:** The shaded area is $52\%$ of the whole square.
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