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In the figure on the right, assume that the distance between adjacent dots in a row or column is 1 unit. Determine the area of the figure.

Ask by Wang Nichols. in the United States
Dec 17,2024

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Answer

To find the area, count the number of units along the length and width of the shape formed by the dots. Multiply the length by the width for rectangles, use the base times height formula for triangles, or divide the figure into simpler shapes to calculate the area.

Solution

To determine the area of the figure based on the description provided, we need to analyze the arrangement of the dots and the shape they form. Since I cannot see the figure, I will guide you through the general steps to calculate the area based on a grid of dots. 1. **Identify the Shape**: Determine the shape formed by the dots. Common shapes include rectangles, triangles, or more complex polygons. 2. **Count the Units**: If the shape is a rectangle, count the number of units along the length and the width. For example, if the rectangle spans 4 units in length and 3 units in width, the area would be calculated as: \[ \text{Area} = \text{Length} \times \text{Width} = 4 \times 3 = 12 \text{ square units} \] 3. **For Triangles**: If the shape is a triangle, you can use the formula: \[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \] Measure the base and height in units. 4. **Complex Shapes**: If the figure is more complex, you may need to divide it into simpler shapes (like rectangles and triangles), calculate the area of each, and then sum them up. 5. **Grid Method**: If the figure is irregular, you can also use a grid method by counting the full squares and estimating the area of partial squares. If you can provide more details about the specific shape or arrangement of the dots, I can give a more precise calculation.

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To determine the area of the figure, you would typically count the number of complete unit squares formed by the dots. If the figure is a simple geometric shape, such as a rectangle or a triangle, you can use the formula for area: length × width for rectangles, or ½ × base × height for triangles. If the figure is more complex, try to break it into smaller recognizable shapes, calculate each area separately, and then sum them up. Often, common mistakes include omitting partial units or miscounting dots at the borders of the figure. Always double-check your counts and ensure that your formulas match the shape you're working with for the correct area calculation!

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