Grade 7 Scale Drawings Worksheet Answer Key

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Worksheet Answer Keys – Mathbot, the Math Made Easy robot coach, with free printable worksheet answer keys for Grade 7

Looking for a scale drawings worksheet answer key? Then this answer key gives every step of the Grade 7 worksheet on Scale Drawings: Lengths, Areas and Scale Factors. Each answer shows the conversion with the scale, any unit change, and the final result in bold. When your area differs, check whether the scale was squared once, not twice, and whether lengths were converted before multiplying.

Standards: 7.G.A.1 · Level: Grade 7

Problem 2 Highway on a Map

2.5 × 30 = 75.

75 miles

Problem 3 Drawing a Length

40 ÷ 8 = 5.

5 inches

Problem 4 Measure Between Two Towns

3.5 × 20 = 70.

Each inch stands for 20 miles.

70 miles

Problem 5 Find the Scale

9 ft ÷ 6 = 1.5 ft per inch, so the scale is 1 in = 1.5 ft.

Scale factor: 1.5 ft = 18 in, so the factor is 1 ÷ 18. Check: 6 in ÷ 108 in = 118.

1 in = 1.5 ft; scale factor 118

Problem 6 Blueprint Living Room

Each 0.25 in is 1 ft, so 6.75 ÷ 0.25 = 27.

27 feet

Problem 7 Blueprint Kitchen

14 × 0.25 = 3.5 and 11 × 0.25 = 2.75.

3.5 in by 2.75 in

Problem 8 Trail in Feet

3.75 × 2 = 7.5 miles. Then 7.5 × 5,280 = 39,600.

39,600 feet

Problem 9 Scale Table

Multiply each drawing length by 12: 1 × 12 = 12, 2.5 × 12 = 30, 4 × 12 = 48, 6.25 × 12 = 75.

Completed table.

12, 30, 48, 75 feet

Problem 10 Same Wall, Two Drawings

Actual wall: 5 × 4 = 20 ft. On Drawing B: 20 ÷ 10 = 2.

2 inches

Problem 11 Area from a Rectangle Drawing

Actual dimensions: 4 × 6 = 24 ft and 3 × 6 = 18 ft. Area: 24 × 18 = 432.

Check by area factor: 12 sq in × 6² = 12 × 36 = 432.

432 square feet

Problem 12 Garden on Paper

Drawing dimensions: 30 ÷ 6 = 5 in and 18 ÷ 6 = 3 in. Area: 5 × 3 = 15.

15 square inches

Problem 13 A Ratio Scale

15 ft = 15 × 12 = 180 in. Model: 180 ÷ 24 = 7.5.

7.5 inches

Problem 14 Redraw at a New Scale

Actual: 8 × 3 = 24 ft by 5 × 3 = 15 ft. New drawing: 24 ÷ 6 = 4 in and 15 ÷ 6 = 2.5 in.

Areas: 40 sq in and 10 sq in, and 10 ÷ 40 = 14, which equals (12)².

4 in by 2.5 in; the new area is 14 of the old area

Problem 15 Classroom Carpet

Actual: 7.5 × 4 = 30 ft and 6 × 4 = 24 ft. Area: 30 × 24 = 720 sq ft. Cost: 720 × 2.80 = 2,016.

$2,016

Problem 16 Road Trip Timing

Distance: 4.2 × 45 = 189 mi. Time: 189 ÷ 60 = 3.15 hours, which is 3 hours and 0.15 × 60 = 9 minutes.

3 hours 9 minutes

Problem 17 Playground Fence

Actual: 5.5 × 8 = 44 ft and 3 × 8 = 24 ft. Perimeter: 2(44 + 24) = 136 ft. Cost: 136 × 9.50 = 1,292.

$1,292

Problem 18 Enlarging a Photo

New size: 4 × 2.5 = 10 in and 6 × 2.5 = 15 in. Areas: 24 sq in and 150 sq in. Ratio: 150 ÷ 24 = 6.25 = 2.5².

10 in by 15 in; the area is 6.25 times as large

Problem 19 Mural Sketches

Small sketch: 9 ÷ 1.5 = 6 in and 6 ÷ 1.5 = 4 in, area 24 sq in. Large sketch: 9 ÷ 0.75 = 12 in and 6 ÷ 0.75 = 8 in, area 96 sq in.

96 ÷ 24 = 4, and the length factor is 12 ÷ 6 = 2, with 2² = 4.

4 times the area

Problem 20 Lake on Two Maps

Actual: 2.5 × 20 = 50 mi and 1.5 × 20 = 30 mi, so 50 × 30 = 1,500 sq mi.

On Map B: 50 ÷ 50 = 1 in and 30 ÷ 50 = 0.6 in, so the area is 0.6 sq in. Check: 1,500 ÷ 50² = 1,500 ÷ 2,500 = 0.6.

1,500 square miles; 0.6 square inch on Map B

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Scale Drawings Worksheet Answer Key – Grade 7

Problem 1 Fence Plan Length