Area of triangles, parallelograms and composite shapes
Grade 6 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
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?
Bo's star sticker is a parallelogram: base 7 cm, slanted side 5 cm, height 4 cm. Slide the cut-off triangle to make a rectangle 7 by 4. What is its area in square cm?
Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (7, 0), (10, 4) and (3, 4). Labeled: base 7 cm, slanted side 5 cm, and a dashed height of 4 cm straight up from the base. The right triangle at the left end (3 wide, 4 tall) is outlined and an arrow moves it to the right end, making a rectangle 7 by 4. Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (7, 0), (10, 4) and (3, 4). Labeled: base 7 cm, slanted side 5 cm, and a dashed height of 4 cm straight up from the base. The right triangle at the left end (3 wide, 4 tall) is outlined and an arrow moves it to the right end, making a rectangle 7 by 4. −1 1 2 3 4 5 6 7 8 9 10 11 −1 1 2 3 4 5 base 7 cm slanted side 5 cm height 4 cm rectangle 7 by 4 Esme's mosaic tile is a parallelogram: base 9 cm, slanted side 10 cm, height 6 cm. Slide the cut-off triangle to make a rectangle 9 by 6. What is its area in square cm?
Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (9, 0), (17, 6) and (8, 6). Labeled: base 9 cm, slanted side 10 cm, and a dashed height of 6 cm straight up from the base. The right triangle at the left end (8 wide, 6 tall) is outlined and an arrow moves it to the right end, making a rectangle 9 by 6. Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (9, 0), (17, 6) and (8, 6). Labeled: base 9 cm, slanted side 10 cm, and a dashed height of 6 cm straight up from the base. The right triangle at the left end (8 wide, 6 tall) is outlined and an arrow moves it to the right end, making a rectangle 9 by 6. Grid, each square 1 cm by 1 cm 2 4 6 8 10 12 14 16 18 2 4 6 0 base 9 cm slanted side 10 cm 6 cm 8 wide 6 tall arrow moves it to the right end rectangle 9 by 6 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?
Grid, each square 1 ft by 1 ft. Triangle with corners (0, 0), (12, 0) and (8, 6). Labeled: base 12 ft, left slanted side 10 ft, and a dashed height of 6 ft straight up from the base to the top point. The rectangle 12 by 6 around the triangle is outlined. Grid, each square 1 ft by 1 ft. Triangle with corners (0, 0), (12, 0) and (8, 6). Labeled: base 12 ft, left slanted side 10 ft, and a dashed height of 6 ft straight up from the base to the top point. The rectangle 12 by 6 around the triangle is outlined. 12 ft 10 ft 6 ft 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?
Grid, each square 1 cm by 1 cm. Triangle with corners (0, 0), (10, 0) and (4, 3). Labeled: base 10 cm, left slanted side 5 cm, and a dashed height of 3 cm straight up from the base to the top point. The rectangle 10 by 3 around the triangle is outlined. Grid, each square 1 cm by 1 cm. Triangle with corners (0, 0), (10, 0) and (4, 3). Labeled: base 10 cm, left slanted side 5 cm, and a dashed height of 3 cm straight up from the base to the top point. The rectangle 10 by 3 around the triangle is outlined. 10 cm 5 cm 3 cm 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?
Grid, each square 1 ft by 1 ft. A plus shape made of a long rectangle from (0, 2) to (9, 5) and a tall rectangle from (3, 0) to (6, 7). The 3 by 3 piece where they cross is shaded. Grid, each square 1 ft by 1 ft. A plus shape made of a long rectangle from (0, 2) to (9, 5) and a tall rectangle from (3, 0) to (6, 7). The 3 by 3 piece where they cross is shaded. 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 0 Each square 1 ft by 1 ft. 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?
Grid, each square 1 ft by 1 ft. A plus shape made of a long rectangle from (0, 2) to (8, 4) and a tall rectangle from (2, 0) to (5, 6). The 3 by 2 piece where they cross is shaded. Grid, each square 1 ft by 1 ft. A plus shape made of a long rectangle from (0, 2) to (8, 4) and a tall rectangle from (2, 0) to (5, 6). The 3 by 2 piece where they cross is shaded. 1 2 3 4 5 6 7 8 1 2 3 4 5 6 0 3 by 2 Two rectangles cross to make Ari's plus-shaped picnic blanket. They have areas 40 and 18 square ft, and the crossing piece has 8 square ft. What is the picnic blanket's area in square ft?
Grid, each square 1 ft by 1 ft. A plus shape made of a long rectangle from (0, 2) to (10, 6) and a tall rectangle from (4, 0) to (6, 9). The 2 by 4 piece where they cross is shaded. Grid, each square 1 ft by 1 ft. A plus shape made of a long rectangle from (0, 2) to (10, 6) and a tall rectangle from (4, 0) to (6, 9). The 2 by 4 piece where they cross is shaded. 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 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?
Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (12, 0), (16, 3) and (4, 3). Labeled: base 12 cm, slanted side 5 cm, and a dashed height of 3 cm straight up from the base. The right triangle at the left end (4 wide, 3 tall) is outlined and an arrow moves it to the right end, making a rectangle 12 by 3. Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (12, 0), (16, 3) and (4, 3). Labeled: base 12 cm, slanted side 5 cm, and a dashed height of 3 cm straight up from the base. The right triangle at the left end (4 wide, 3 tall) is outlined and an arrow moves it to the right end, making a rectangle 12 by 3. Grid, each square 1 cm by 1 cm 2 4 6 8 10 12 14 16 2 4 0 base 12 cm slanted side 5 cm 3 cm 4 wide 3 tall arrow moves it to the right end rectangle 12 by 3 - 36 square cm
- 60 square cm
- 36 cm
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?
Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (11, 0), (19, 6) and (8, 6). Labeled: base 11 cm, slanted side 10 cm, and a dashed height of 6 cm straight up from the base. The right triangle at the left end (8 wide, 6 tall) is outlined and an arrow moves it to the right end, making a rectangle 11 by 6. Grid, each square 1 cm by 1 cm. Parallelogram with corners (0, 0), (11, 0), (19, 6) and (8, 6). Labeled: base 11 cm, slanted side 10 cm, and a dashed height of 6 cm straight up from the base. The right triangle at the left end (8 wide, 6 tall) is outlined and an arrow moves it to the right end, making a rectangle 11 by 6. 2 4 6 8 10 12 14 16 18 20 2 4 6 0 base 11 cm slanted side 10 cm height 6 cm rectangle 11 by 6 - 66 cm
- 110 square cm
- 66 square cm