A rectangular scale drawing is 4 cm by 6 cm. The scale is 1 cm = 2 yd. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
CCSS 7.G.A.1 · scale drawings, lengths & areas
Scale Drawing Length and Area Worksheet Generator
Practice using a scale to move between drawing dimensions and real dimensions, then extend the reasoning to area. Every rectangle diagram is generated from the same dimensions used in the answer key, so the visual and calculation cannot drift apart.
Preview · US Letter
Scale Drawing Lengths & Areas
Diagrams are part of the problem data, not decorative assets. Student pages keep solution-specific marks hidden; reveal answers or use the separate PDF key to check work.
Problem 1
Problem 2
A rectangular scale drawing is 6 cm by 5 cm. The scale is 1 cm = 3 yd. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Problem 3
A rectangular scale drawing is 6 cm by 5 cm. The scale is 1 cm = 4 ft. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Problem 4
A rectangular scale drawing is 2 cm by 4 cm. The scale is 1 cm = 4 m. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Problem 5
A rectangular scale drawing is 2 cm by 4 cm. The scale is 1 cm = 3 yd. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Problem 6
A rectangular scale drawing is 6 cm by 5 cm. The scale is 1 cm = 8 yd. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Problem 7
A rectangular scale drawing is 7 cm by 5 cm. The scale is 1 cm = 4 m. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Problem 8
A rectangular scale drawing is 2 cm by 4 cm. The scale is 1 cm = 6 yd. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Teaching note 1
A length scale factor multiplies every corresponding length.
Teaching note 2
Area does not scale by the same factor as length; it scales by the square of the length factor.
Teaching note 3
Keep drawing units and real-world units separate until the conversion is complete.
Continue the 7.G progression
Move to another Grade 7 geometry skill
More skills in this set
Frequently asked questions
Do these include area scale factors?
Yes. Answer keys explicitly distinguish the length scale factor from the squared area factor.
Are the rectangles drawn from the generated dimensions?
Yes. The preview and PDF diagram use the same width, height, and scale data as the problem and answer.