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Cogito

Grade 7 Math · Chapter 1 · Lesson 2

Practice Worksheet

Scale Drawings and Area

Doubling the sides does not double the area.

10 problems · about 18 minutes · 7.G.A.1

NameDate

Figure — use these to answer the problems

Double both sides and watch the area, not just the perimeter.

Area · squares inside

12

Perimeter · walk around

14

4 × 3 = 12 · 4 + 3 + 4 + 3 = 14

Width4
Height3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Scale Copies”

    A 9 cm side becomes 27 cm. What is the scale factor?

    Answer

  2. From “Scale Copies”

    What makes a copy a scale copy?

    • Every length multiplied by the same factor.
    • It is bigger than the original.

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. A shape is scaled by 3. How many times bigger is its area?

    Answer

  2. Why does doubling the sides quadruple the area?

    • Both the length and the width doubled.
    • Because that is the rule.

  3. Scale 1 cm to 3 km. How far is 12 cm?

    Answer

  4. A shape scaled by 2. How many times bigger is the area?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. A shape scaled by 5. How many times bigger is the area?

    Answer

  2. Scale 1 cm to 10 km. A distance is 70 km. How many cm on the map?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Map

    A map scale is 1 cm to 6 km. How far is 8 cm?

    Answerkm

  2. The Area

    A shape is scaled by 4. How many times bigger is its area?

    Answertimes