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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.

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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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.
Parent Tip: Review the logic above to help your child master the concept of worksheet for finding area of rectangles and squares.
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