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Grade 6 · Math

6th grade Area of triangles, parallelograms and composite shapes worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Area of triangles, parallelograms and composite shapes

Grade 6 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. Ari's garden bed is a parallelogram: base 8 ft, slanted side 5 ft, height 3 ft. Slide the cut-off triangle to make a rectangle 8 by 3. What is its area in square ft?

  2. Bo's star sticker is a parallelogram: base 7 cm, slanted side 5 cm, height 4 cm. Slide the cut-off triangle to make a rectangle 7 by 4. What is its area in square cm?

  3. Kira's sail is a triangle: base 12 ft, height 6 ft, slanted side 10 ft. It fills half of a rectangle 12 by 6. Ready to sail. What is its area in square ft?

  4. Milo's paper kite is a triangle: base 10 cm, height 3 cm, slanted side 5 cm. It fills half of a rectangle 10 by 3. Wind, please. What is its area in square cm?

  5. Pia's flower bed is a right triangle: legs 12 ft and 5 ft, longest side 13 ft. Two make a rectangle 12 by 5. Bees approve. What is the area of one in square ft?

  6. Ren's pizza bite is a right triangle: legs 4 cm and 3 cm, longest side 5 cm. Two make a rectangle 4 by 3. Mmm, pizza. What is the area of one in square cm?

  7. Two rectangles cross to make Zee's plus-shaped quilt. They have areas 16 and 18 square ft, and the crossing piece has 6 square ft. So cozy. What is the quilt's area in square ft?

  8. Two rectangles cross to make Ari's plus-shaped picnic blanket. They have areas 40 and 18 square ft, and the crossing piece has 8 square ft. What is the picnic blanket's area in square ft?

  9. Bo's raised bed is a parallelogram: base 9 ft, slanted side 5 ft, height 4 ft. Slide the cut-off triangle to make a rectangle 9 by 4. The sprouts look excited. Which is its area?

    • 45 square ft
    • 36 ft
    • 36 square ft
  10. Esme's name tag is a parallelogram: base 12 cm, slanted side 5 cm, height 3 cm. Slide the cut-off triangle to make a rectangle 12 by 3. Hello, area! Which is its area?

    • 36 cm
    • 36 square cm
    • 60 square cm
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6th grade Area of triangles, parallelograms and composite shapes worksheet – printable
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About this worksheet

Area of triangles and other shapes. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can cut a parallelogram or a triangle on a grid and rearrange it into a rectangle to find its area.
  • I can pick the height (straight up from the base), not the slanted side.
  • I can split a trapezoid or a joined shape into rectangles and triangles and add the areas without counting any part twice.

Standard: 6.G.A.1

Words to know

base: The side of a shape that you measure the height from.

height: The straight-up distance from the base to the opposite side or point.

slanted side: A side that leans. It is longer than the height, so it is not used for area.

parallelogram: A four-sided shape with two pairs of parallel sides, like a leaning rectangle.

trapezoid: A four-sided shape with one pair of parallel sides.

overlap: The part that two pieces share.

square centimeter: The area of a square that is 1 cm on each side.

Common mistakes

Your child used the slanted side where the height belongs. Draw the shape on grid paper together and draw the height as a straight line up from the base, not along the slanted side.

Your child forgot to halve when finding the area of a triangle or a trapezoid. Cut a rectangle along a diagonal together and see that each piece is half of it.

Your child added two overlapping pieces and counted the shared part twice.

What to say

Ask: which squares belong to both pieces? Count those only once.

Questions parents ask

What is the most common mistake with area of triangles, parallelograms and composite shapes?

Your child used the slanted side where the height belongs. Draw the shape on grid paper together and draw the height as a straight line up from the base, not along the slanted side.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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