Worksheet

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. Read this first

    Use this

    Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (10, 0), (16, 8) and (6, 8). Labeled: base 10 cm, slanted side 10 cm, and a dashed height of 8 cm straight up from the base. The right triangle at the left end (6 wide, 8 tall) is outlined and an arrow moves it to the right end, making a rectangle 10 by 8.

  4. Jun's paper card is a parallelogram: base 10 cm, slanted side 10 cm, height 8 cm. Slide the cut-off triangle to make a rectangle 10 by 8. What is its area in square cm?

  5. 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?

  6. Luz's paper pennant is a triangle: base 8 cm, height 4 cm, slanted side 5 cm. It fills half of a rectangle 8 by 4. Hang it high. What is its area in square cm?

  7. 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?

  8. Noah's paper triangle is a right triangle: legs 6 cm and 8 cm, longest side 10 cm. Two make a rectangle 6 by 8. What is the area of one in square cm?

  9. 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?

  10. Two rectangles cross to make Tala's plus-shaped garden. They have areas 27 and 21 square ft, and the crossing piece has 9 square ft. What is the garden's area in square ft?

  11. 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?

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Area of triangles, parallelograms and composite shapes

Answer Key - Grade 6 Math Worksheet - Building Confidence

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?

    24

  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?

    28

  3. Read this first

    Use this

    Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (10, 0), (16, 8) and (6, 8). Labeled: base 10 cm, slanted side 10 cm, and a dashed height of 8 cm straight up from the base. The right triangle at the left end (6 wide, 8 tall) is outlined and an arrow moves it to the right end, making a rectangle 10 by 8.

  4. Jun's paper card is a parallelogram: base 10 cm, slanted side 10 cm, height 8 cm. Slide the cut-off triangle to make a rectangle 10 by 8. What is its area in square cm?

    80

  5. 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?

    36

  6. Luz's paper pennant is a triangle: base 8 cm, height 4 cm, slanted side 5 cm. It fills half of a rectangle 8 by 4. Hang it high. What is its area in square cm?

    16

  7. 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?

    15

  8. Noah's paper triangle is a right triangle: legs 6 cm and 8 cm, longest side 10 cm. Two make a rectangle 6 by 8. What is the area of one in square cm?

    24

  9. 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?

    6

  10. Two rectangles cross to make Tala's plus-shaped garden. They have areas 27 and 21 square ft, and the crossing piece has 9 square ft. What is the garden's area in square ft?

    39

  11. 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?

    50