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Cogito

Grade 6 Math · Chapter 7 · Lesson 3

Practice Worksheet

Area of a Parallelogram

Cut a piece off one end and slide it to the other.

10 problems · about 18 minutes · 6.G.A.1

NameDate

Figure — use these to answer the problems

Change the base and the height. The area is the product of the two.

Area · squares inside

40

Perimeter · walk around

26

8 × 5 = 40 · 8 + 5 + 8 + 5 = 26

Base8
Height5
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Surface Area from Nets”

    A cube with edge 5. Surface area?

    Answer

  2. From “Area of Triangles”

    Base 14, height 6. Area?

    Answer

  3. From “Two Variables That Move Together”

    If y = 5x, what is y when x is 8?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Base 8, height 7. Area?

    Answer

  2. Base 5, height 3. Area?

    Answer

  3. Base 12, height 4. Area?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Area 24 and base 6. What is the height?

    Answer

  2. Should the slanted side be used in the area formula?

    • No. Use the straight-up height.
    • Yes.

Stretch Yourself

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

2 problems

  1. The Flag

    A parallelogram has base 7 and height 6. What is its area?

    Answer

  2. The Extra Number

    Base 9, height 4, slanted side 5. What is the area?

    Answer