Area of triangles, parallelograms and composite shapes

Answer Key - Grade 6 Math Worksheet - Challenge Me

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

1. 1.

   Noah's duck pond is a trapezoid with parallel sides 18 ft and 6 ft, height 5 ft and slanted side 13 ft. The ducks are thrilled. What is its area in square ft?

   60
2. 2.

   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?

   195
3. 3.

   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?

   66
4. 4.

   Tala's toy shop is a rectangle, 6 by 5 cm, with a triangle roof. The roof has base 6 cm, height 4 cm, slanted side 5 cm. What is the whole area in square cm?

   42
5. 5.

   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?

   104
6. 6.

   Jun's triangular toy sail has an area of 54 square cm and a base of 9 cm. It catches every breeze. What is its height in cm?

   12
7. 7.

   Kira's plus-shaped park path has two crossing strips, each 3 ft wide. One strip is 9 ft long and the other is 11 ft long. Bikes take turns. What is its area in square ft?

   51
8. 8.

   Luz's plus-shaped crochet rug has two crossing strips, each 2 ft wide. One strip is 8 ft long and the other is 10 ft long. What is its area in square ft?

   32
9. 9.

   Pia's cookie cutter is a trapezoid with parallel sides 11 cm and 5 cm, height 8 cm and slanted side 10 cm. It makes perfect cookies. Which is its area?

   • 80 square cm
   • 128 square cm
   • 64 cm
   • 64 square cm
10. 10.

    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?

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