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

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Area of triangles, parallelograms and composite shapes

Grade 6 Math Worksheet - Challenge Me

NameDate

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

  1. Pia's paint tray is a trapezoid with parallel sides 17 cm and 9 cm, height 15 cm and slanted side 17 cm. It already has a few drips. What is its area in square cm?

  2. Ren's carrot patch is a trapezoid with parallel sides 15 ft and 7 ft, height 6 ft and slanted side 10 ft. The carrots are lining up. What is its area in square ft?

  3. Zee's paper sign is a rectangle, 14 by 6 cm, with a triangle roof. The roof has base 14 cm, height 5 cm, slanted side 13 cm. What is the whole area in square cm?

  4. Ari's house-shaped card is a rectangle, 8 by 9 cm, with a triangle roof. The roof has base 8 cm, height 8 cm, slanted side 10 cm. What is the whole area in square cm?

  5. Bo's triangular paper flag has an area of 30 square cm and a base of 6 cm. It waves hello to everyone. What is its height in cm?

  6. Esme's triangular sail has an area of 48 square ft and a base of 8 ft. It needs a lot of wind. What is its height in ft?

  7. Milo's plus-shaped dog yard has two crossing strips, each 4 ft wide. One strip is 12 ft long and the other is 10 ft long. What is its area in square ft?

  8. Noah's plus-shaped bee garden has two crossing strips, each 5 ft wide. One strip is 15 ft long and the other is 12 ft long. Buzz, buzz! What is its area in square ft?

  9. Ren's sandbox is a trapezoid with parallel sides 16 ft and 4 ft, height 9 ft and slanted side 15 ft. Buckets are already waiting. Which is its area?

    • 150 square ft
    • 90 square ft
    • 180 square ft
    • 90 ft

  10. Tala's toy ramp is a trapezoid with parallel sides 19 cm and 3 cm, height 12 cm and slanted side 20 cm. The toy cars are lining up. Which is its area?

    • 132 cm
    • 264 square cm
    • 220 square cm
    • 132 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

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