Let's solve each problem step by step.
We are given scale drawings of rectangles, with dimensions in centimeters (cm), and a scale factor (e.g., 1 cm = X ft). We need to:
1.
Find the actual width and height using the scale.
2.
Calculate the area in square feet (ft²).
3.
Round the area to the nearest whole number.
---
Problem 1
- Scale: 1 cm = 9 ft
- Dimensions: 1.9 cm × 4.5 cm
Actual width:
1.9 cm × 9 ft/cm =
17.1 ft
Actual height:
4.5 cm × 9 ft/cm =
40.5 ft
Area:
17.1 × 40.5 =
691.55 ft² → Rounded to
692 ft²
✔ Answer: Width = 17.1 ft, Height = 40.5 ft, Area = 692 ft²
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Problem 2
- Scale: 1 cm = 10 ft
- Dimensions: 3.7 cm × 2.4 cm
Width: 3.7 × 10 =
37 ft
Height: 2.4 × 10 =
24 ft
Area: 37 × 24 =
888 ft²
✔ Answer: 37 ft, 24 ft, 888 ft²
---
Problem 3
- Scale: 1 cm = 6 ft
- Dimensions: 4.9 cm × 2.2 cm
Width: 4.9 × 6 =
29.4 ft
Height: 2.2 × 6 =
13.2 ft
Area: 29.4 × 13.2 =
387.68 ft² →
388 ft²
✔ Answer: 29.4 ft, 13.2 ft, 388 ft²
---
Problem 4
- Scale: 1 cm = 8 ft
- Dimensions: 3.4 cm × 2.4 cm
Width: 3.4 × 8 =
27.2 ft
Height: 2.4 × 8 =
19.2 ft
Area: 27.2 × 19.2 =
522.24 ft² →
522 ft²
✔ Answer: 27.2 ft, 19.2 ft, 522 ft²
---
Problem 5
- Scale: 1 cm = 10 ft
- Dimensions: 5 cm × 1.3 cm
Width: 5 × 10 =
50 ft
Height: 1.3 × 10 =
13 ft
Area: 50 × 13 =
650 ft²
✔ Answer: 50 ft, 13 ft, 650 ft²
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Problem 6
- Scale: 1 cm = 4 ft
- Dimensions: 2.7 cm × 2.9 cm
Width: 2.7 × 4 =
10.8 ft
Height: 2.9 × 4 =
11.6 ft
Area: 10.8 × 11.6 =
125.28 ft² →
125 ft²
✔ Answer: 10.8 ft, 11.6 ft, 125 ft²
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Problem 7
- Scale: 1 cm = 7 ft
- Dimensions: 4.7 cm × 2.3 cm
Width: 4.7 × 7 =
32.9 ft
Height: 2.3 × 7 =
16.1 ft
Area: 32.9 × 16.1 =
529.69 ft² →
530 ft²
✔ Answer: 32.9 ft, 16.1 ft, 530 ft²
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Problem 8
- Scale: 1 cm = 5 ft
- Dimensions: 1.6 cm × 1.2 cm
Width: 1.6 × 5 =
8 ft
Height: 1.2 × 5 =
6 ft
Area: 8 × 6 =
48 ft²
✔ Answer: 8 ft, 6 ft, 48 ft²
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✔ Final Answers (Fill in the blanks):
1.
17.1 ft,
40.5 ft,
692 ft²
2.
37 ft,
24 ft,
888 ft²
3.
29.4 ft,
13.2 ft,
388 ft²
4.
27.2 ft,
19.2 ft,
522 ft²
5.
50 ft,
13 ft,
650 ft²
6.
10.8 ft,
11.6 ft,
125 ft²
7.
32.9 ft,
16.1 ft,
530 ft²
8.
8 ft,
6 ft,
48 ft²
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You can now fill these into the "Answers" column on the worksheet. Let me know if you'd like this formatted for printing or copying!
Parent Tip: Review the logic above to help your child master the concept of 7th grade math scale factor worksheet.
