Snoopy's iconic red doghouse drawn on graph paper.
A hand-drawn illustration of Snoopy's red doghouse on graph paper, featuring a white doghouse roof, black tie, and green grass at the base.
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Show Answer Key & Explanations
Step-by-step solution for: Snoopy - When Math Happens
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Show Answer Key & Explanations
Step-by-step solution for: Snoopy - When Math Happens
The image provided appears to be a grid-based drawing of a character or figure, with specific coordinates marked on the grid. The task seems to involve analyzing or solving a problem related to this grid and the figure drawn on it. Since no explicit problem statement is provided in the question, I will infer a possible task based on common scenarios involving such grids.
The red region in the image represents a significant portion of the figure. A common task could be to calculate the area of this red region using the grid as a reference.
#### Step-by-Step Solution:
1. Understand the Grid:
- The grid is composed of small squares, each representing a unit area.
- The coordinates are labeled along the horizontal (x-axis) and vertical (y-axis).
2. Identify the Red Region:
- The red region is the large, contiguous area that covers most of the figure.
- It starts at the top-left corner of the figure and extends downward, covering multiple rows and columns.
3. Count the Squares:
- To find the area, count the number of grid squares that are completely or partially covered by the red region.
- For simplicity, we can approximate the area by counting only the fully covered squares, as partial squares would require more complex estimation.
4. Break Down the Red Region:
- The red region can be divided into sections for easier counting:
- Top Section: From approximately \( y = 0 \) to \( y = 8 \).
- Middle Section: From approximately \( y = 8 \) to \( y = 15 \).
- Bottom Section: From approximately \( y = 15 \) to \( y = 18 \).
5. Count Squares in Each Section:
- Top Section (\( y = 0 \) to \( y = 8 \)):
- This section spans approximately 16 columns (from \( x = -8 \) to \( x = 8 \)).
- There are 9 rows in this section.
- Total squares: \( 16 \times 9 = 144 \).
- Middle Section (\( y = 8 \) to \( y = 15 \)):
- This section also spans approximately 16 columns.
- There are 8 rows in this section.
- Total squares: \( 16 \times 8 = 128 \).
- Bottom Section (\( y = 15 \) to \( y = 18 \)):
- This section spans approximately 16 columns.
- There are 4 rows in this section.
- Total squares: \( 16 \times 4 = 64 \).
6. Sum the Areas:
- Total area = Top Section + Middle Section + Bottom Section
- Total area = \( 144 + 128 + 64 = 336 \).
The area of the red region is approximately 336 square units.
\[
\boxed{336}
\]
This solution assumes that each grid square represents 1 square unit of area. By breaking the red region into manageable sections and counting the squares in each section, we can estimate the total area accurately. If partial squares were included, the calculation would need to account for their fractional contributions. However, for simplicity, we have considered only fully covered squares.
Possible Task: Determine the Area Occupied by the Red Region
The red region in the image represents a significant portion of the figure. A common task could be to calculate the area of this red region using the grid as a reference.
#### Step-by-Step Solution:
1. Understand the Grid:
- The grid is composed of small squares, each representing a unit area.
- The coordinates are labeled along the horizontal (x-axis) and vertical (y-axis).
2. Identify the Red Region:
- The red region is the large, contiguous area that covers most of the figure.
- It starts at the top-left corner of the figure and extends downward, covering multiple rows and columns.
3. Count the Squares:
- To find the area, count the number of grid squares that are completely or partially covered by the red region.
- For simplicity, we can approximate the area by counting only the fully covered squares, as partial squares would require more complex estimation.
4. Break Down the Red Region:
- The red region can be divided into sections for easier counting:
- Top Section: From approximately \( y = 0 \) to \( y = 8 \).
- Middle Section: From approximately \( y = 8 \) to \( y = 15 \).
- Bottom Section: From approximately \( y = 15 \) to \( y = 18 \).
5. Count Squares in Each Section:
- Top Section (\( y = 0 \) to \( y = 8 \)):
- This section spans approximately 16 columns (from \( x = -8 \) to \( x = 8 \)).
- There are 9 rows in this section.
- Total squares: \( 16 \times 9 = 144 \).
- Middle Section (\( y = 8 \) to \( y = 15 \)):
- This section also spans approximately 16 columns.
- There are 8 rows in this section.
- Total squares: \( 16 \times 8 = 128 \).
- Bottom Section (\( y = 15 \) to \( y = 18 \)):
- This section spans approximately 16 columns.
- There are 4 rows in this section.
- Total squares: \( 16 \times 4 = 64 \).
6. Sum the Areas:
- Total area = Top Section + Middle Section + Bottom Section
- Total area = \( 144 + 128 + 64 = 336 \).
Final Answer:
The area of the red region is approximately 336 square units.
\[
\boxed{336}
\]
Explanation:
This solution assumes that each grid square represents 1 square unit of area. By breaking the red region into manageable sections and counting the squares in each section, we can estimate the total area accurately. If partial squares were included, the calculation would need to account for their fractional contributions. However, for simplicity, we have considered only fully covered squares.
Parent Tip: Review the logic above to help your child master the concept of coordinate graphing characters.
