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

Circle the best answer, or write your answer on the line.
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?
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?
Grid, each square 1 cm by 1 cm. Trapezoid with corners (0, 0), (17, 0), (9, 15) and (0, 15). Labeled: parallel sides 17 cm (bottom) and 9 cm (top), height 15 cm (the left side), and slanted side 17 cm (the right side). Grid, each square 1 cm by 1 cm. Trapezoid with corners (0, 0), (17, 0), (9, 15) and (0, 15). Labeled: parallel sides 17 cm (bottom) and 9 cm (top), height 15 cm (the left side), and slanted side 17 cm (the right side). 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 0 17 cm 9 cm 15 cm 17 cm 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 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?
Grid, each square 1 cm by 1 cm. Shape with corners (0, 0), (8, 0), (8, 9), (6, 17) and (0, 9): a rectangle 8 cm wide and 9 cm tall with a triangle on top. Labeled: roof base 8 cm, roof height 8 cm (dashed, straight up) and left roof side 10 cm. Grid, each square 1 cm by 1 cm. Shape with corners (0, 0), (8, 0), (8, 9), (6, 17) and (0, 9): a rectangle 8 cm wide and 9 cm tall with a triangle on top. Labeled: roof base 8 cm, roof height 8 cm (dashed, straight up) and left roof side 10 cm. rectangle with a triangle on top −2 2 4 6 8 10 −2 2 4 6 8 10 12 14 16 18 0 8 cm wide 9 cm tall roof base 8 cm roof height 8 cm left roof side 10 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. 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?
Triangle, not to scale and with no grid. The base is marked 9 cm; the height is marked with a question mark. Triangle, not to scale and with no grid. The base is marked 9 cm; the height is marked with a question mark. 9 cm ? Not to scale. 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?
Grid, each square 1 ft by 1 ft. A plus shape made of a long strip from (0, 4) to (8, 6) and a tall strip from (3, 0) to (5, 10). Both strips are 2 ft wide. The 2 by 2 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 (8, 6) and a tall strip from (3, 0) to (5, 10). Both strips are 2 ft wide. The 2 by 2 square where they cross is shaded. Plus shape −2 −1 1 2 3 4 5 6 7 8 9 10 −2 1 2 3 4 5 6 7 8 9 10 11 12 2 ft 2 ft Both strips are 2 ft wide. Tala's toy ramp is a trapezoid with parallel sides 19 cm and 3 cm, height 12 cm and slanted side 20 cm. The toy cars are lining up. Which is its area?
Grid, each square 1 cm by 1 cm. Trapezoid with corners (0, 0), (19, 0), (3, 12) and (0, 12). Labeled: parallel sides 19 cm (bottom) and 3 cm (top), height 12 cm (the left side), and slanted side 20 cm (the right side). Grid, each square 1 cm by 1 cm. Trapezoid with corners (0, 0), (19, 0), (3, 12) and (0, 12). Labeled: parallel sides 19 cm (bottom) and 3 cm (top), height 12 cm (the left side), and slanted side 20 cm (the right side). 2 4 6 8 10 12 14 16 18 2 4 6 8 10 12 0 19 cm 3 cm 12 cm 20 cm Each square 1 cm by 1 cm. - 220 square cm
- 132 square cm
- 132 cm
- 264 square cm