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.

   Milo's play mat is a trapezoid with parallel sides 9 ft and 5 ft, height 3 ft and slanted side 5 ft. The ball keeps rolling away. What is its area in square ft?

   21
2. 2.

   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
3. 3.

   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
4. 4.

   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?

   10
5. 5.

   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?

   12
6. 6.

   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
7. 7.

   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
8. 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?

   110
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
   • 64 cm
   • 64 square cm
   • 128 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?

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