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Grade 6 Area of Trapezoids & Composite Shapes Worksheet with Answers

Grade 6 (US) · Year 7 (UK) · Class 6 (India) · Math

Unit 4: GeometryAreaCCSS 6.G.A.1

Finding the area of trapezoids and of shapes made from rectangles and triangles. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Area of Trapezoids & Composite Shapes

Grade 6 · Math

Score___ / 12

Name

Class

Date

Learning goal: Area · CCSS 6.G.A.1

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

Find the area of a trapezoid with bases 6 cm and 19 cm and height 12 cm.

Answer: 150 cm²

RememberArea and perimeter

RectangleA = l × wPerimeterP = add all sidesTriangleA = ½ × b × hParallelogramA = b × h
  1. 1

    A shape is a 8 × 10 cm rectangle with a triangle on top. The triangle has base 8 cm and height 5 cm. What is the total area?

    8 cm10 cm5 cm
    Answer
  2. 2

    Find the area of a trapezoid with bases 4 in and 16 in and height 11 in.

    4 in16 in11 in
    Answer
  3. 3

    Find the area of a trapezoid with bases 5 m and 12 m and height 4 m.

    5 m12 m4 m
    Answer
  4. 4

    Find the area of a trapezoid with bases 4 cm and 20 cm and height 9 cm.

    4 cm20 cm9 cm
    Answer
  5. 5

    Find the area of a trapezoid with bases 7 m and 12 m and height 3 m.

    7 m12 m3 m
    Answer
  6. 6

    Find the area of a trapezoid with bases 11 in and 19 in and height 11 in.

    11 in19 in11 in
    Answer
  7. 7

    A shape is a 8 × 8 m rectangle with a triangle on top. The triangle has base 8 m and height 7 m. What is the total area?

    8 m8 m7 m
    Answer
  8. 8

    Find the area of a trapezoid with bases 13 in and 20 in and height 11 in.

    13 in20 in11 in
    Answer
  9. 9

    Find the area of a trapezoid with bases 4 in and 18 in and height 10 in.

    4 in18 in10 in
    Answer
  10. 10

    A shape is a 12 × 7 in rectangle with a triangle on top. The triangle has base 12 in and height 5 in. What is the total area?

    12 in7 in5 in
    Answer
  11. 11

    Find the area of a trapezoid with bases 10 m and 17 m and height 9 m.

    10 m17 m9 m
    Answer
  12. 12

    Find the area of a trapezoid with bases 6 in and 20 in and height 6 in.

    6 in20 in6 in
    Answer

★ Challenge corner for fast finishers

In a number pyramid each brick is the sum of the two bricks below it. The bottom row is 15, 34, ?, 23 and the top brick is 206. What is the missing number?

1534?23206

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/6/polygon_area

Answer key (click to show)
  1. 1.100 cm²
  2. 2.110 in²
  3. 3.34 m²
  4. 4.108 cm²
  5. 5.28.5 m²
  6. 6.165 in²
  7. 7.92 m²
  8. 8.181.5 in²
  9. 9.110 in²
  10. 10.114 in²
  11. 11.121.5 m²
  12. 12.78 in²
  13. ★22 (challenge corner)

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