Let’s solve each problem one by one.
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Problem 1:
Gina’s map scale: 1 inch = 30 miles
Map distance: 35 inches
Actual distance?
Set up proportion:
1 inch / 30 miles = 35 inches / x miles
Cross-multiply:
1 * x = 30 * 35 → x = 1050 miles
No rounding needed — it’s already a whole number.
✔ Answer:
1050 miles
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Problem 2:
Model airplane scale: 1 inch : 40 ft
Actual wingspan: 211 feet
Model wingspan?
Proportion:
1 inch / 40 ft = x inches / 211 ft
Cross-multiply:
40x = 211 → x = 211 ÷ 40 = 5.275
Round to nearest tenth → 5.3 inches
✔ Answer:
5.3 inches
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Problem 3:
Map scale: ½ inch = 20 miles
Actual distance: 70 miles
Map distance?
First, find how many “20-mile” segments are in 70 miles:
70 ÷ 20 = 3.5
Each segment is ½ inch on map → 3.5 × ½ = 1.75 inches
Alternatively, set up proportion:
(½ inch) / 20 miles = x inches / 70 miles
→ (0.5)/20 = x/70
→ 0.5 * 70 = 20x → 35 = 20x → x = 35/20 = 1.75 inches
✔ Answer:
1.75 inches
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Problem 4:
Blueprint scale: 1 inch = 5 feet
Drawing length: 14¼ inches = 14.25 inches
Actual length?
Proportion:
1 inch / 5 feet = 14.25 inches / x feet
→ x = 14.25 * 5 = 71.25 feet
✔ Answer:
71.25 feet
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Problem 5:
Willis Tower actual height: 1454 feet
Model scale: 2 inches : 45 feet
Model height?
Proportion:
2 inches / 45 feet = x inches / 1454 feet
Cross-multiply:
45x = 2 * 1454 = 2908
x = 2908 ÷ 45 ≈ 64.622...
Round to nearest tenth → 64.6 inches
✔ Answer:
64.6 inches
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Problem 6:
Library design scale: ½ inch = 1 foot
Drawing height: 12 inches
Actual height?
Since ½ inch represents 1 foot, then 1 inch represents 2 feet.
So 12 inches × 2 = 24 feet
Or via proportion:
(½ inch) / 1 foot = 12 inches / x feet
→ 0.5 / 1 = 12 / x
→ 0.5x = 12 → x = 24 feet
✔ Answer:
24 feet
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Final Answers:
1. 1050 miles
2. 5.3 inches
3. 1.75 inches
4. 71.25 feet
5. 64.6 inches
6. 24 feet
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Final Answer:
1. 1050 miles
2. 5.3 inches
3. 1.75 inches
4. 71.25 feet
5. 64.6 inches
6. 24 feet
Parent Tip: Review the logic above to help your child master the concept of maps and scale drawings worksheet.
