Color all rectangles and squares with an area of 36 square units.
Worksheet titled "Area of Squares and Rectangles" from SplashLearn, showing shapes with labeled side lengths; task is to color shapes with an area of 36 square units.
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Step-by-step solution for: Calculate Area of Rectangles and Color the Shapes — Printable Math ...
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Show Answer Key & Explanations
Step-by-step solution for: Calculate Area of Rectangles and Color the Shapes — Printable Math ...
Let’s solve this step by step.
We need to find which shapes have an area of 36 square units.
Remember:
→ For a rectangle or square, Area = length × width
Let’s check each shape one by one:
---
Shape 1 (top left):
Dimensions: 9 and 4
Area = 9 × 4 = 36 → ✔ This one counts!
---
Shape 2 (top right):
Dimensions: 6 and 6
Area = 6 × 6 = 36 → ✔ This one counts too!
---
Shape 3 (middle left):
Dimensions: 8 and 10
Area = 8 × 10 = 80 → ✘ Too big!
---
Shape 4 (middle right):
Dimensions: 9 and 9
Area = 9 × 9 = 81 → ✘ Also too big!
Wait — hold on! Let me double-check that. The shape says “9” on top and “9” on the side? That would be a square with area 81. But maybe I misread?
Looking again — actually, in the image, the middle-right shape has “9” on top and “9” on the left side? Wait — no, let me recheck the original problem.
Actually, looking back at the user’s description — the shapes are labeled as:
- Top left: 9 (top), 4 (side) → 9×4=36 ✔️
- Top right: 6 (top), 6 (side) → 6×6=36 ✔️
- Middle left: 8 (top), 10 (side) → 8×10=80 ✘
- Middle right: 9 (top), 9 (side)? Wait — no, in the original image description, it says for the middle right: “9” on top and “9” on the left? Actually, let me recalculate based on standard layout.
Wait — perhaps I made a mistake. Let me list them clearly as per typical worksheet layout:
From the image description:
There are five shapes? Wait — let me count:
Actually, from the text:
“Color all shapes with an area of 36 sq units.”
Shapes shown:
1. Rectangle: 9 by 4 → 36 ✔️
2. Square: 6 by 6 → 36 ✔️
3. Rectangle: 8 by 10 → 80 ✘
4. Square: 9 by 9 → 81 ✘
5. Rectangle: 12 by 3 → 36 ✔️
Ah! I missed the bottom one!
Bottom shape: 12 (top), 3 (side) → 12 × 3 = 36 → ✔
So actually, three shapes have area 36:
- 9 × 4 = 36
- 6 × 6 = 36
- 12 × 3 = 36
The other two:
- 8 × 10 = 80
- 9 × 9 = 81
So we should color the first, second, and fifth shapes.
But wait — let me confirm the positions:
Typically arranged as:
Top row:
Left: 9x4
Right: 6x6
Middle row:
Left: 8x10
Right: 9x9? Or is the right one different?
Wait — in the original problem statement, the user wrote:
"9
4 [rectangle]
6
6 [square]
8
10 [rectangle]
9
9 [square?]
12
3 [rectangle]"
Actually, looking again — the last shape is 12 by 3 → 36.
And the one above it — is it 9 by 9? Or is it 9 by something else?
Wait — in the initial problem, it says:
“Color all shapes with an area of 36 sq units.”
And lists:
- Shape with sides 9 and 4 → 36
- Shape with sides 6 and 6 → 36
- Shape with sides 8 and 10 → 80
- Shape with sides 9 and 9 → 81? But wait — maybe that’s not correct.
Hold on — let me re-read the user's input carefully.
User wrote:
```
9
4 [rectangle]
6
6 [square]
8
10 [rectangle]
9
9 [square?]
12
3 [rectangle]
```
Actually, the fourth shape is listed as having “9” on top and “9” on the side? That would be 81.
But then the fifth is 12 and 3 → 36.
So total shapes with area 36: first, second, and fifth.
But let me calculate once more to be 100% sure:
1. 9 × 4 = 36 → YES
2. 6 × 6 = 36 → YES
3. 8 × 10 = 80 → NO
4. 9 × 9 = 81 → NO
5. 12 × 3 = 36 → YES
Yes — so three shapes qualify.
Therefore, the student should color the shapes with dimensions:
- 9 by 4
- 6 by 6
- 12 by 3
Final Answer:
Color the shapes with dimensions 9×4, 6×6, and 12×3.
We need to find which shapes have an area of 36 square units.
Remember:
→ For a rectangle or square, Area = length × width
Let’s check each shape one by one:
---
Shape 1 (top left):
Dimensions: 9 and 4
Area = 9 × 4 = 36 → ✔ This one counts!
---
Shape 2 (top right):
Dimensions: 6 and 6
Area = 6 × 6 = 36 → ✔ This one counts too!
---
Shape 3 (middle left):
Dimensions: 8 and 10
Area = 8 × 10 = 80 → ✘ Too big!
---
Shape 4 (middle right):
Dimensions: 9 and 9
Area = 9 × 9 = 81 → ✘ Also too big!
Wait — hold on! Let me double-check that. The shape says “9” on top and “9” on the side? That would be a square with area 81. But maybe I misread?
Looking again — actually, in the image, the middle-right shape has “9” on top and “9” on the left side? Wait — no, let me recheck the original problem.
Actually, looking back at the user’s description — the shapes are labeled as:
- Top left: 9 (top), 4 (side) → 9×4=36 ✔️
- Top right: 6 (top), 6 (side) → 6×6=36 ✔️
- Middle left: 8 (top), 10 (side) → 8×10=80 ✘
- Middle right: 9 (top), 9 (side)? Wait — no, in the original image description, it says for the middle right: “9” on top and “9” on the left? Actually, let me recalculate based on standard layout.
Wait — perhaps I made a mistake. Let me list them clearly as per typical worksheet layout:
From the image description:
There are five shapes? Wait — let me count:
Actually, from the text:
“Color all shapes with an area of 36 sq units.”
Shapes shown:
1. Rectangle: 9 by 4 → 36 ✔️
2. Square: 6 by 6 → 36 ✔️
3. Rectangle: 8 by 10 → 80 ✘
4. Square: 9 by 9 → 81 ✘
5. Rectangle: 12 by 3 → 36 ✔️
Ah! I missed the bottom one!
Bottom shape: 12 (top), 3 (side) → 12 × 3 = 36 → ✔
So actually, three shapes have area 36:
- 9 × 4 = 36
- 6 × 6 = 36
- 12 × 3 = 36
The other two:
- 8 × 10 = 80
- 9 × 9 = 81
So we should color the first, second, and fifth shapes.
But wait — let me confirm the positions:
Typically arranged as:
Top row:
Left: 9x4
Right: 6x6
Middle row:
Left: 8x10
Right: 9x9? Or is the right one different?
Wait — in the original problem statement, the user wrote:
"9
4 [rectangle]
6
6 [square]
8
10 [rectangle]
9
9 [square?]
12
3 [rectangle]"
Actually, looking again — the last shape is 12 by 3 → 36.
And the one above it — is it 9 by 9? Or is it 9 by something else?
Wait — in the initial problem, it says:
“Color all shapes with an area of 36 sq units.”
And lists:
- Shape with sides 9 and 4 → 36
- Shape with sides 6 and 6 → 36
- Shape with sides 8 and 10 → 80
- Shape with sides 9 and 9 → 81? But wait — maybe that’s not correct.
Hold on — let me re-read the user's input carefully.
User wrote:
```
9
4 [rectangle]
6
6 [square]
8
10 [rectangle]
9
9 [square?]
12
3 [rectangle]
```
Actually, the fourth shape is listed as having “9” on top and “9” on the side? That would be 81.
But then the fifth is 12 and 3 → 36.
So total shapes with area 36: first, second, and fifth.
But let me calculate once more to be 100% sure:
1. 9 × 4 = 36 → YES
2. 6 × 6 = 36 → YES
3. 8 × 10 = 80 → NO
4. 9 × 9 = 81 → NO
5. 12 × 3 = 36 → YES
Yes — so three shapes qualify.
Therefore, the student should color the shapes with dimensions:
- 9 by 4
- 6 by 6
- 12 by 3
Final Answer:
Color the shapes with dimensions 9×4, 6×6, and 12×3.
Parent Tip: Review the logic above to help your child master the concept of worksheet for finding area of rectangles and squares.