Since I can't view or access images directly, I’ll help you solve the problem based on the description provided in your text. You're working on a worksheet titled
"Drawing Scaled Rectangles", where you need to:
1. Draw a rectangle with given dimensions.
2. Scale it by a certain factor (e.g., 4 times or 9 times).
3. Determine the new dimensions after scaling.
Let’s go through each problem step by step.
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Understanding Scaling
Scaling a rectangle means multiplying both its length and width by a scale factor.
- If the original dimensions are $ L \times W $,
- And the scale factor is $ k $,
- Then the new dimensions are $ k \times L \times k \times W $.
We will:
1. Multiply each dimension by the scale factor.
2. Write the new dimensions.
3. (In practice) draw the scaled rectangle on grid paper.
---
Problem 1
Original: $ 4.3 \times 2.7 $
Scale factor: 9
New dimensions:
$$
4.3 \times 9 = 38.7 \\
2.7 \times 9 = 24.3
$$
✔ New dimensions: $ 38.7 \times 24.3 $
> Note: This might be large for a grid, but mathematically correct.
---
Problem 2
Original: $ 5.3 \times 5.7 $
Scale factor: 4
New dimensions:
$$
5.3 \times 4 = 21.2 \\
5.7 \times 4 = 22.8
$$
✔ New dimensions: $ 21.2 \times 22.8 $
---
Problem 3
Original: $ 6.9 \times 5.2 $
Scale factor: 4
New dimensions:
$$
6.9 \times 4 = 27.6 \\
5.2 \times 4 = 20.8
$$
✔ New dimensions: $ 27.6 \times 20.8 $
---
Problem 4
Original: $ 2.6 \times 3.2 $
Scale factor: 9
New dimensions:
$$
2.6 \times 9 = 23.4 \\
3.2 \times 9 = 28.8
$$
✔ New dimensions: $ 23.4 \times 28.8 $
---
Problem 5
Original: $ 6.4 \times 5.1 $
Scale factor: 4
New dimensions:
$$
6.4 \times 4 = 25.6 \\
5.1 \times 4 = 20.4
$$
✔ New dimensions: $ 25.6 \times 20.4 $
---
Problem 6
Original: $ 3.5 \times 6.9 $
Scale factor: 4
New dimensions:
$$
3.5 \times 4 = 14.0 \\
6.9 \times 4 = 27.6
$$
✔ New dimensions: $ 14.0 \times 27.6 $
---
✔ Final Answers (to fill in the "Answers" column):
1. $ 38.7 \times 24.3 $
2. $ 21.2 \times 22.8 $
3. $ 27.6 \times 20.8 $
4. $ 23.4 \times 28.8 $
5. $ 25.6 \times 20.4 $
6. $ 14.0 \times 27.6 $
---
📝 Instructions for Drawing:
On the grid:
- Use a ruler to measure and draw the original rectangle using the given dimensions (e.g., 4.3 units long, 2.7 units high).
- Then, draw the scaled version using the new dimensions.
- Make sure to align with grid lines and use consistent units.
> 💡 Tip: Since the numbers have decimals, estimate positions between grid lines. For example, 0.3 of a unit is about 1/3 of a square.
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Let me know if you'd like help sketching how to draw them on grid paper!
Parent Tip: Review the logic above to help your child master the concept of scale drawings worksheet.
