Snoopy - When Math Happens - Free Printable
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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
It looks like you've uploaded a hand-drawn image of a red house on graph paper, with a coordinate grid overlaid. The drawing includes:
- A red roof with a chimney
- A black door in the center
- A small window on the upper right side
- A green grassy base at the bottom
- The entire structure is drawn on a grid with labeled axes (x and y)
Since no explicit question was stated, I'll assume this is a geometry or coordinate-based problem, possibly asking one of the following:
1. Find the area of the house.
2. Determine the coordinates of key points (e.g., corners).
3. Calculate the perimeter.
4. Identify shapes used in the drawing.
Let’s solve for area, as it's a common task with such images.
---
We’ll divide the house into simpler shapes:
1. Roof – Triangle (or trapezoid? Let’s check)
2. Main body – Rectangle
3. Chimney – Rectangle
4. Grass – Trapezoid or series of triangles
5. Door – Rectangle (black)
6. Window – Rectangle
But since the main structure is the focus, we'll compute the total red area, excluding the door and window (they are not part of the red surface), but including the chimney if it's red (it isn't — it's black). So only the red parts count.
---
Each square on the grid represents 1 unit × 1 unit, so area = number of squares.
#### A. Main Body (Red Rectangle)
- Width: from x = -14 to x = 10 → width = 10 - (-14) = 24 units
- Height: from y = -9 to y = -1 → height = -1 - (-9) = 8 units
- Area = 24 × 8 = 192 square units
Wait! Actually, looking at the drawing:
- The main body starts at y = -9 (bottom of the house) and goes up to y = -1 (where the roof starts), so yes, height = 8 units.
- But the roof extends above that.
So let’s split into two parts:
---
#### B. Roof (Triangle-like shape)
The roof appears to be a trapezoid, not a triangle, because the top is wider than the bottom.
- Bottom edge: from x = -14 to x = 10 → width = 24 units
- Top edge: from x = -7 to x = 7 → width = 14 units
- Height of roof: from y = -1 to y = 8 → height = 9 units
This is a trapezoid:
> Area = (base₁ + base₂)/2 × height
> = (24 + 14)/2 × 9 = (38/2) × 9 = 19 × 9 = 171 square units
Wait — but the roof has a chimney and door cut out?
No — the door is on the main body, and the chimney is black, so not part of the red area.
But the roof has a black rectangle (possibly a vent or chimney on the roof), which should be subtracted.
Let’s check that.
---
#### C. Black Door (on main body)
- From x = -6 to x = -1 → width = 5 units
- From y = -1 to y = 4 → height = 5 units
- Area = 5 × 5 = 25 square units
This is not red, so we subtract it from the main body.
So corrected main body area = 192 - 25 = 167 square units
---
#### D. Chimney (Black, on roof)
- Located at x = 0 to x = 1 → width = 1 unit
- From y = 10 to y = 14 → height = 4 units
- Area = 1 × 4 = 4 square units
This is not red, so we subtract it from the roof area.
So corrected roof area = 171 - 4 = 167 square units
Wait — but is the chimney on the roof? Yes, and it's black, so it’s not red.
But is there a window?
Yes — on the upper right side, near y = 12–14, x = 5–7. It’s a small black rectangle.
Let’s measure it:
- Window: x = 5 to 7 → width = 2 units
- y = 12 to 14 → height = 2 units
- Area = 2 × 2 = 4 square units
Also not red → subtract from roof area.
So total non-red areas on roof: chimney (4) + window (4) = 8 square units
So final roof area = 171 - 8 = 163 square units
---
#### E. Grass (Green Base)
At the bottom, from y = -18 to y = -17, with triangular spikes.
Each spike is a triangle:
- Base: 1 unit (from x = -14 to -13, etc.)
- Height: 1 unit (from y = -18 to -17)
- Area of one triangle = (1 × 1)/2 = 0.5
How many spikes?
From x = -14 to x = 10 → that’s 25 units wide
Number of spikes = 25 (one per column)
Total grass area = 25 × 0.5 = 12.5 square units
But wait — the grass is green, not red. So unless the task is to find total red area, we exclude it.
Assuming the task is: Find the total area of the red parts of the house.
Then:
- Main body (red): 192 - 25 (door) = 167
- Roof (red): 171 - 8 (chimney + window) = 163
- Grass: not red, so ignore
- Chimney and door already subtracted
Wait — the roof has a black oval on it (center, around x = -5 to -2, y = 4 to 6). That might be a skylight or design.
Let’s check:
- From x = -5 to -2 → width = 3
- y = 4 to 6 → height = 2
- But it's an oval, not rectangle — roughly 3×2 ellipse
Area ≈ π × (3/2) × (2/2) = π × 1.5 × 1 ≈ 4.71 → say ~5 square units
So subtract that too.
So roof red area = 171 - 8 (chimney/window) - 5 (oval) = 158 square units
Now total red area = main body (167) + roof (158) = 325 square units
---
---
If the task was to find coordinates of key points, here are some:
- Bottom-left corner of house: (-14, -18)
- Bottom-right corner: (10, -18)
- Top of roof: (0, 8) — peak
- Door: from (-6, -1) to (-1, 4)
- Chimney: (0, 10) to (1, 14)
- Window: (5, 12) to (7, 14)
---
Since no specific question was given, the most likely intended task is:
> Calculate the area of the red portion of the house.
- Main body: 24 × 8 = 192 → minus door (5×5=25) → 167
- Roof: trapezoid (24+14)/2 × 9 = 171 → minus chimney (1×4=4), window (2×2=4), oval (~5) → 158
- Total red area: 167 + 158 = 325 square units
---
Let me know if you meant a different task (e.g., symmetry, perimeter, equations of lines, etc.)!
- A red roof with a chimney
- A black door in the center
- A small window on the upper right side
- A green grassy base at the bottom
- The entire structure is drawn on a grid with labeled axes (x and y)
Task Interpretation:
Since no explicit question was stated, I'll assume this is a geometry or coordinate-based problem, possibly asking one of the following:
1. Find the area of the house.
2. Determine the coordinates of key points (e.g., corners).
3. Calculate the perimeter.
4. Identify shapes used in the drawing.
Let’s solve for area, as it's a common task with such images.
---
Step 1: Break the House into Geometric Shapes
We’ll divide the house into simpler shapes:
1. Roof – Triangle (or trapezoid? Let’s check)
2. Main body – Rectangle
3. Chimney – Rectangle
4. Grass – Trapezoid or series of triangles
5. Door – Rectangle (black)
6. Window – Rectangle
But since the main structure is the focus, we'll compute the total red area, excluding the door and window (they are not part of the red surface), but including the chimney if it's red (it isn't — it's black). So only the red parts count.
---
Step 2: Use Grid to Measure Dimensions
Each square on the grid represents 1 unit × 1 unit, so area = number of squares.
#### A. Main Body (Red Rectangle)
- Width: from x = -14 to x = 10 → width = 10 - (-14) = 24 units
- Height: from y = -9 to y = -1 → height = -1 - (-9) = 8 units
- Area = 24 × 8 = 192 square units
Wait! Actually, looking at the drawing:
- The main body starts at y = -9 (bottom of the house) and goes up to y = -1 (where the roof starts), so yes, height = 8 units.
- But the roof extends above that.
So let’s split into two parts:
---
#### B. Roof (Triangle-like shape)
The roof appears to be a trapezoid, not a triangle, because the top is wider than the bottom.
- Bottom edge: from x = -14 to x = 10 → width = 24 units
- Top edge: from x = -7 to x = 7 → width = 14 units
- Height of roof: from y = -1 to y = 8 → height = 9 units
This is a trapezoid:
> Area = (base₁ + base₂)/2 × height
> = (24 + 14)/2 × 9 = (38/2) × 9 = 19 × 9 = 171 square units
Wait — but the roof has a chimney and door cut out?
No — the door is on the main body, and the chimney is black, so not part of the red area.
But the roof has a black rectangle (possibly a vent or chimney on the roof), which should be subtracted.
Let’s check that.
---
#### C. Black Door (on main body)
- From x = -6 to x = -1 → width = 5 units
- From y = -1 to y = 4 → height = 5 units
- Area = 5 × 5 = 25 square units
This is not red, so we subtract it from the main body.
So corrected main body area = 192 - 25 = 167 square units
---
#### D. Chimney (Black, on roof)
- Located at x = 0 to x = 1 → width = 1 unit
- From y = 10 to y = 14 → height = 4 units
- Area = 1 × 4 = 4 square units
This is not red, so we subtract it from the roof area.
So corrected roof area = 171 - 4 = 167 square units
Wait — but is the chimney on the roof? Yes, and it's black, so it’s not red.
But is there a window?
Yes — on the upper right side, near y = 12–14, x = 5–7. It’s a small black rectangle.
Let’s measure it:
- Window: x = 5 to 7 → width = 2 units
- y = 12 to 14 → height = 2 units
- Area = 2 × 2 = 4 square units
Also not red → subtract from roof area.
So total non-red areas on roof: chimney (4) + window (4) = 8 square units
So final roof area = 171 - 8 = 163 square units
---
#### E. Grass (Green Base)
At the bottom, from y = -18 to y = -17, with triangular spikes.
Each spike is a triangle:
- Base: 1 unit (from x = -14 to -13, etc.)
- Height: 1 unit (from y = -18 to -17)
- Area of one triangle = (1 × 1)/2 = 0.5
How many spikes?
From x = -14 to x = 10 → that’s 25 units wide
Number of spikes = 25 (one per column)
Total grass area = 25 × 0.5 = 12.5 square units
But wait — the grass is green, not red. So unless the task is to find total red area, we exclude it.
Assuming the task is: Find the total area of the red parts of the house.
Then:
- Main body (red): 192 - 25 (door) = 167
- Roof (red): 171 - 8 (chimney + window) = 163
- Grass: not red, so ignore
- Chimney and door already subtracted
Wait — the roof has a black oval on it (center, around x = -5 to -2, y = 4 to 6). That might be a skylight or design.
Let’s check:
- From x = -5 to -2 → width = 3
- y = 4 to 6 → height = 2
- But it's an oval, not rectangle — roughly 3×2 ellipse
Area ≈ π × (3/2) × (2/2) = π × 1.5 × 1 ≈ 4.71 → say ~5 square units
So subtract that too.
So roof red area = 171 - 8 (chimney/window) - 5 (oval) = 158 square units
Now total red area = main body (167) + roof (158) = 325 square units
---
Final Answer: Approximately 325 square units
---
Alternative Interpretation: Coordinates
If the task was to find coordinates of key points, here are some:
- Bottom-left corner of house: (-14, -18)
- Bottom-right corner: (10, -18)
- Top of roof: (0, 8) — peak
- Door: from (-6, -1) to (-1, 4)
- Chimney: (0, 10) to (1, 14)
- Window: (5, 12) to (7, 14)
---
Summary
Since no specific question was given, the most likely intended task is:
> Calculate the area of the red portion of the house.
✔ Solution:
- Main body: 24 × 8 = 192 → minus door (5×5=25) → 167
- Roof: trapezoid (24+14)/2 × 9 = 171 → minus chimney (1×4=4), window (2×2=4), oval (~5) → 158
- Total red area: 167 + 158 = 325 square units
---
✔ Final Answer: 325 square units
Let me know if you meant a different task (e.g., symmetry, perimeter, equations of lines, etc.)!
Parent Tip: Review the logic above to help your child master the concept of graphiti worksheet.