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Area of Composite Figures — Easy Worksheet 2
Grade 6 · Whoobee Name: ____________________ Date: __________
Find the area (or perimeter) of each figure. Figures are not drawn to scale.
How to solve
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Example
Find the area of the figure in square inches.
Answer: 39
Not quite. The answer is
💡 Split the figure into two rectangles. The tall part is 2 by 8: 2 × 8 = 16. The short part is 7 − 2 = 5 wide and 6 tall: 5 × 6 = 30. Add: 16 + 30 = 46. The area is 46 square meters.
✓ Correct!
Not quite. The answer is
💡 Split the figure into two rectangles. The tall part is 2 by 8: 2 × 8 = 16. The short part is 7 − 2 = 5 wide and 6 tall: 5 × 6 = 30. Add: 16 + 30 = 46. The area is 46 square meters.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square inches.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Find the area of the whole rectangle and subtract the cut-out. Whole: 9 × 12 = 108. Cut-out: 6 × 7 = 42. Subtract: 108 − 42 = 66. The shaded area is 66 square yards.
✓ Correct!
Not quite. The answer is
💡 Find the area of the whole rectangle and subtract the cut-out. Whole: 9 × 12 = 108. Cut-out: 6 × 7 = 42. Subtract: 108 − 42 = 66. The shaded area is 66 square yards.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square feet.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Split the figure into two rectangles. The tall part is 4 by 9: 4 × 9 = 36. The short part is 11 − 4 = 7 wide and 3 tall: 7 × 3 = 21. Add: 36 + 21 = 57. The area is 57 square inches.
✓ Correct!
Not quite. The answer is
💡 Split the figure into two rectangles. The tall part is 4 by 9: 4 × 9 = 36. The short part is 11 − 4 = 7 wide and 3 tall: 7 × 3 = 21. Add: 36 + 21 = 57. The area is 57 square inches.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square yards.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Split the figure into a rectangle and a triangle. Rectangle: 4 × 6 = 24. Triangle, with the same base 4: 12 × 4 × 3 = 12 ÷ 2 = 6. Add: 24 + 6 = 30. The area is 30 square inches.
✓ Correct!
Not quite. The answer is
💡 Split the figure into a rectangle and a triangle. Rectangle: 4 × 6 = 24. Triangle, with the same base 4: 12 × 4 × 3 = 12 ÷ 2 = 6. Add: 24 + 6 = 30. The area is 30 square inches.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square centimeters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Find the area of the whole rectangle and subtract the cut-out. Whole: 10 × 11 = 110. Cut-out: 6 × 6 = 36. Subtract: 110 − 36 = 74. The shaded area is 74 square meters.
✓ Correct!
Not quite. The answer is
💡 Find the area of the whole rectangle and subtract the cut-out. Whole: 10 × 11 = 110. Cut-out: 6 × 6 = 36. Subtract: 110 − 36 = 74. The shaded area is 74 square meters.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square feet.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Split the figure into two rectangles. The tall part is 2 by 11: 2 × 11 = 22. The short part is 9 − 2 = 7 wide and 9 tall: 7 × 9 = 63. Add: 22 + 63 = 85. The area is 85 square inches.
✓ Correct!
Not quite. The answer is
💡 Split the figure into two rectangles. The tall part is 2 by 11: 2 × 11 = 22. The short part is 9 − 2 = 7 wide and 9 tall: 7 × 9 = 63. Add: 22 + 63 = 85. The area is 85 square inches.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square inches.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Split the figure into a rectangle and a triangle. Rectangle: 10 × 9 = 90. Triangle, with the same base 10: 12 × 10 × 3 = 30 ÷ 2 = 15. Add: 90 + 15 = 105. The area is 105 square meters.
✓ Correct!
Not quite. The answer is
💡 Split the figure into a rectangle and a triangle. Rectangle: 10 × 9 = 90. Triangle, with the same base 10: 12 × 10 × 3 = 30 ÷ 2 = 15. Add: 90 + 15 = 105. The area is 105 square meters.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square feet.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Find the area of the whole rectangle and subtract the cut-out. Whole: 11 × 12 = 132. Cut-out: 2 × 5 = 10. Subtract: 132 − 10 = 122. The shaded area is 122 square centimeters.
✓ Correct!
Not quite. The answer is
💡 Find the area of the whole rectangle and subtract the cut-out. Whole: 11 × 12 = 132. Cut-out: 2 × 5 = 10. Subtract: 132 − 10 = 122. The shaded area is 122 square centimeters.
💡 How to solve: Area of Composite Figures
Split the figure into rectangles and triangles, find any missing side lengths by adding or subtracting the labelled sides, then add the areas of the pieces. For a shape with a hole, subtract the area of the hole from the area of the whole rectangle.
Try a similar one
Find the area of the figure in square meters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Area of Composite Figures — Easy Worksheet 2
Find the area (or perimeter) of each figure. Figures are not drawn to scale.