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

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Area of triangles, parallelograms and composite shapes

Grade 6 Math Worksheet

NameDate

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

  1. Luz's paint sponge is a parallelogram with base 13 cm, slanted side 10 cm and height 8 cm. It soaks up paint fast. What is its area in square cm?

  2. Milo's log walkway is a parallelogram with base 14 ft, slanted side 5 ft and height 4 ft. The logs feel very important. What is its area in square ft?

  3. Noah's stone path is a parallelogram with base 13 ft, slanted side 5 ft and height 3 ft. Stepping stones, not skipping stones. What is its area in square ft?

  4. Pia's pizza slice is a triangle with base 10 cm, height 12 cm and one slanted side of 13 cm. It is gone in seconds. What is its area in square cm?

  5. Ren's doll bandana is a triangle with base 18 cm, height 9 cm and one slanted side of 15 cm. The doll looks very stylish. What is its area in square cm?

  6. Ari's plus-shaped garden has a long rectangle, 10 ft by 2 ft, and a tall one, 3 by 8 ft. They share a piece 3 by 2. What is its area in square ft?

  7. Bo's plus-shaped reading rug has a long rectangle, 11 ft by 3 ft, and a tall one, 2 by 7 ft. They share a piece 2 by 3. What is its area in square ft?

  8. Esme's plus-shaped band stage has a long rectangle, 9 ft by 4 ft, and a tall one, 3 by 10 ft. They share a piece 3 by 4. What is its area in square ft?

  9. Kira's paper pennant is a triangle with base 16 cm, height 5 cm and one slanted side of 13 cm. Go, team, go! Which is its area?

    • 40 cm
    • 104 square cm
    • 40 square cm
    • 80 square cm

  10. Luz's treehouse roof is a triangle with base 14 ft, height 8 ft and one slanted side of 10 ft. The squirrels are watching. Which is its area?

    • 56 ft
    • 70 square ft
    • 56 square ft
    • 112 square ft
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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

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