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Cogito

Grade 6 Math · Chapter 7 · Lesson 1

Practice Worksheet

Area of Triangles

Half of the rectangle around it.

10 problems · about 17 minutes · 6.G.A.1

NameDate

Figure — use these to answer the problems

A triangle with this base and height covers half of this rectangle.

Area · squares inside

48

Perimeter · walk around

28

8 × 6 = 48 · 8 + 6 + 8 + 6 = 28

Base8
Height6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Two Variables That Move Together”

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

    Answer

  2. From “Inequalities on a Number Line”

    Smallest whole number satisfying x > 11?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Base 14, height 6. Area?

    Answer

  2. What is the height of a triangle?

    • The perpendicular distance from the base.
    • The length of the longest side.

  3. Base 6, height 4. Area?

    Answer

  4. Base 9, height 10. Area?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Area 35, base 7. Height?

    Answer

  2. Base 5, height 12. Area?

    Answer

Stretch Yourself

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

2 problems

  1. The Sail

    A triangle with base 12 and height 5. What is its area?

    Answersquare units

  2. The Missing Height

    A triangle has area 24 and base 8. What is its height?

    Answer