What percent is represented by the shaded portion of this 10 × 10 grid?

A grid model has 100 squares. 40 squares are shaded.
StartFraction 4 Over 100 EndFraction percent
StartFraction 40 Over 100 EndFraction percent
4%
40%

1 answer

To find the percentage represented by the shaded portion of the 10 × 10 grid, you first need to determine the number of shaded squares relative to the total number of squares.

In this case, there are 100 squares in total (10 × 10 = 100) and 40 squares shaded.

To find the percentage of shaded squares, you use the formula:

\[ \text{Percentage} = \left( \frac{\text{Number of shaded squares}}{\text{Total number of squares}} \right) \times 100 \]

Substituting in the values:

\[ \text{Percentage} = \left( \frac{40}{100} \right) \times 100 = 40% \]

Thus, the percentage represented by the shaded portion is 40%.

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