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7th grade · Math · Unit 17 of 18

Scale Drawings

Maps and floor plans

What your child practices

Finding real lengths and areas from a scale drawing or map, and redrawing at a different scale.

Alabama Course of Study content standard: 7.17 · solving problems with scale drawings, including actual lengths and areas

How we explain it

Children can open this short lesson before they practice.

  1. The scale tells how a drawing length matches a real length.
  2. Multiply by the scale to find real lengths.
  3. Find real side lengths first, then the real area.

Example: On a map, 1 cm stands for 5 m. A path is 7 cm. How long is it really? 7 × 5 = 35. Answer: 35 m

Scale Drawings in Alabama

In the Alabama Course of Study, this is unit 17 of 18 in 7th grade Math, after Samples & Populations and before Area & Constructions.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Alabama State Department of Education (ALSDE)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    A room is drawn as a 6 in by 2 in rectangle. The scale is 1 in = 2 ft. What is the real area?

    • 12 ft²
    • 24 ft²
    • 48 ft²
    • 46 ft²

  2. Question 2

    A scale drawing uses 1 in = 2 ft. A wall is 24 ft long. How long is it on the drawing?

    • 48 in
    • 13 in
    • 12 in
    • 14 in

  3. Question 3

    A drawing at 1 cm = 4 m shows a fence 8 cm long. It is redrawn at 1 cm = 8 m. How long is the fence on the new drawing?

    • 8 cm
    • 16 cm
    • 4 cm
    • 3 cm

  4. Question 4

    On a map, 1 in stands for 9 ft. A path is 9 in long on the map. How long is it really?

    • 90 ft
    • 83 ft
    • 18 ft
    • 81 ft

  5. Question 5

    On a map, 1 in stands for 8 ft. A path is 5 in long on the map. How long is it really?

    • 13 ft
    • 48 ft
    • 40 ft
    • 39 ft

  6. Question 6

    A room is drawn as a 6 in by 4 in rectangle. The scale is 1 in = 2 ft. What is the real area?

    • 48 ft²
    • 93 ft²
    • 96 ft²
    • 24 ft²

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