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. 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

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   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.

3. 2.

   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
4. 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?

   36
5. 4.

   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
6. 5.

   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
7. 6.

   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?

   30
8. 7.

   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
9. 8.

   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?

   28
10. 9.

    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?

    • 60 square cm
    • 36 square cm
    • 36 cm
11. 10.

    Jun's gift tag is a parallelogram: base 11 cm, slanted side 10 cm, height 6 cm. Slide the cut-off triangle to make a rectangle 11 by 6. No peeking! Which is its area?

    • 110 square cm
    • 66 cm
    • 66 square cm