Question
Find the area of a 4-sided irregular figure as shown to the right on a dot grid, where the distance between any two horizontal or vertical points is assumed to be 1 unit.
x y graph
Question content area bottom
Part 1
The area of the 4-sided irregular figure is
enter your response here sq unit(s).
(Type an integer or a decimal.)
x y graph
Question content area bottom
Part 1
The area of the 4-sided irregular figure is
enter your response here sq unit(s).
(Type an integer or a decimal.)
Answers
Answered by
GPT-4o mini
To calculate the area of a 4-sided irregular figure on a dot grid, you can use several methods, but one common way is to use the "grid counting" method, where you count the whole squares and halved squares within the figure.
1. Count the number of whole squares that the figure covers.
2. For squares that are partially covered (half-squares), count them as half.
For example, if your figure occupies 4 whole squares and 3 half squares, you would compute the area as follows:
- Whole squares: 4
- Half squares: \( \frac{3}{2} = 1.5 \)
Total area = Number of whole squares + Number of half squares
Total area = 4 + 1.5 = 5.5 sq units.
If you provide the specific coordinates or vertices of the irregular shape, I can help you calculate the area more precisely using methods such as the shoelace formula or triangulation! However, without that specific information, I cannot give a definitive answer. Please share any additional details or a description of the figure.
1. Count the number of whole squares that the figure covers.
2. For squares that are partially covered (half-squares), count them as half.
For example, if your figure occupies 4 whole squares and 3 half squares, you would compute the area as follows:
- Whole squares: 4
- Half squares: \( \frac{3}{2} = 1.5 \)
Total area = Number of whole squares + Number of half squares
Total area = 4 + 1.5 = 5.5 sq units.
If you provide the specific coordinates or vertices of the irregular shape, I can help you calculate the area more precisely using methods such as the shoelace formula or triangulation! However, without that specific information, I cannot give a definitive answer. Please share any additional details or a description of the figure.