Area of triangles, parallelograms and composite shapes
Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
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?
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?
Grid, each square 1 ft by 1 ft. Trapezoid with corners (0, 0), (15, 0), (7, 6) and (0, 6). Labeled: parallel sides 15 ft (bottom) and 7 ft (top), height 6 ft (the left side), and slanted side 10 ft (the right side). Grid, each square 1 ft by 1 ft. Trapezoid with corners (0, 0), (15, 0), (7, 6) and (0, 6). Labeled: parallel sides 15 ft (bottom) and 7 ft (top), height 6 ft (the left side), and slanted side 10 ft (the right side). Trapezoid −2 2 4 6 8 10 12 14 16 −2 2 4 6 8 0 15 ft 7 ft 6 ft 10 ft parallel sides; height 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?
Grid, each square 1 cm by 1 cm. Shape with corners (0, 0), (6, 0), (6, 5), (3, 9) and (0, 5): a rectangle 6 cm wide and 5 cm tall with a triangle on top. Labeled: roof base 6 cm, roof height 4 cm (dashed, straight up) and left roof side 5 cm. Grid, each square 1 cm by 1 cm. Shape with corners (0, 0), (6, 0), (6, 5), (3, 9) and (0, 5): a rectangle 6 cm wide and 5 cm tall with a triangle on top. Labeled: roof base 6 cm, roof height 4 cm (dashed, straight up) and left roof side 5 cm. −1 1 2 3 4 5 6 7 −1 1 2 3 4 5 6 7 8 9 10 0 6 cm 5 cm 6 cm 4 cm 5 cm Zee's paper sign is a rectangle, 14 by 6 cm, with a triangle roof. The roof has base 14 cm, height 5 cm, slanted side 13 cm. What is the whole area in square cm?
Grid, each square 1 cm by 1 cm. Shape with corners (0, 0), (14, 0), (14, 6), (12, 11) and (0, 6): a rectangle 14 cm wide and 6 cm tall with a triangle on top. Labeled: roof base 14 cm, roof height 5 cm (dashed, straight up) and left roof side 13 cm. Grid, each square 1 cm by 1 cm. Shape with corners (0, 0), (14, 0), (14, 6), (12, 11) and (0, 6): a rectangle 14 cm wide and 6 cm tall with a triangle on top. Labeled: roof base 14 cm, roof height 5 cm (dashed, straight up) and left roof side 13 cm. rectangle with a triangle on top −2 2 4 6 8 10 12 14 16 −2 2 4 6 8 10 12 0 14 cm wide 6 cm tall roof base 14 cm roof height 5 cm left roof side 13 cm 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?
Triangle, not to scale and with no grid. The base is marked 6 cm; the height is marked with a question mark. Triangle, not to scale and with no grid. The base is marked 6 cm; the height is marked with a question mark. 6 cm ? Not to scale. 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?
Grid, each square 1 ft by 1 ft. A plus shape made of a long strip from (0, 4) to (9, 7) and a tall strip from (3, 0) to (6, 11). Both strips are 3 ft wide. The 3 by 3 square where they cross is shaded. Grid, each square 1 ft by 1 ft. A plus shape made of a long strip from (0, 4) to (9, 7) and a tall strip from (3, 0) to (6, 11). Both strips are 3 ft wide. The 3 by 3 square where they cross is shaded. Grid, each square 1 ft by 1 ft 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 10 11 A plus shape made of a long strip from (0, 4) to (9, 7) and a tall strip from (3, 0) to (6, 11). Both strips are 3 ft wide. The 3 by 3 square where they cross is shaded. Milo's plus-shaped dog yard has two crossing strips, each 4 ft wide. One strip is 12 ft long and the other is 10 ft long. What is its area in square ft?
Grid, each square 1 ft by 1 ft. A plus shape made of a long strip from (0, 3) to (12, 7) and a tall strip from (4, 0) to (8, 10). Both strips are 4 ft wide. The 4 by 4 square where they cross is shaded. Grid, each square 1 ft by 1 ft. A plus shape made of a long strip from (0, 3) to (12, 7) and a tall strip from (4, 0) to (8, 10). Both strips are 4 ft wide. The 4 by 4 square where they cross is shaded. Grid, each square 1 ft by 1 ft. Both strips are 4 ft wide. 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 0 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?
Grid, each square 1 ft by 1 ft. A plus shape made of a long strip from (0, 3) to (15, 8) and a tall strip from (5, 0) to (10, 12). Both strips are 5 ft wide. The 5 by 5 square where they cross is shaded. Grid, each square 1 ft by 1 ft. A plus shape made of a long strip from (0, 3) to (15, 8) and a tall strip from (5, 0) to (10, 12). Both strips are 5 ft wide. The 5 by 5 square where they cross is shaded. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 0 5 ft wide 5 ft wide 5 by 5 Grid, each square 1 ft by 1 ft. The 5 by 5 square where they cross is shaded. 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?
Grid, each square 1 cm by 1 cm. Trapezoid with corners (0, 0), (11, 0), (5, 8) and (0, 8). Labeled: parallel sides 11 cm (bottom) and 5 cm (top), height 8 cm (the left side), and slanted side 10 cm (the right side). Grid, each square 1 cm by 1 cm. Trapezoid with corners (0, 0), (11, 0), (5, 8) and (0, 8). Labeled: parallel sides 11 cm (bottom) and 5 cm (top), height 8 cm (the left side), and slanted side 10 cm (the right side). −1 1 2 3 4 5 6 7 8 9 10 11 12 −1 1 2 3 4 5 6 7 8 9 0 11 cm 5 cm 8 cm 10 cm - 80 square cm
- 64 square cm
- 128 square cm
- 64 cm
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?
Grid, each square 1 ft by 1 ft. Trapezoid with corners (0, 0), (16, 0), (4, 9) and (0, 9). Labeled: parallel sides 16 ft (bottom) and 4 ft (top), height 9 ft (the left side), and slanted side 15 ft (the right side). Grid, each square 1 ft by 1 ft. Trapezoid with corners (0, 0), (16, 0), (4, 9) and (0, 9). Labeled: parallel sides 16 ft (bottom) and 4 ft (top), height 9 ft (the left side), and slanted side 15 ft (the right side). 2 4 6 8 10 12 14 16 −1 1 2 3 4 5 6 7 8 9 10 16 ft 4 ft 9 ft 15 ft - 180 square ft
- 90 square ft
- 150 square ft
- 90 ft