Area of polygons by decomposing into rectangles and triangles

Split the shape into rectangles and triangles. Find each area, then add them, or subtract any piece that is cut away.

1. A shape is a rectangle 8 cm wide and 2 cm tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 2 cm. Find the total area in square centimetres.
2. A shape is a rectangle 4 m wide and 6 m tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 3 m. Find the total area in square metres.
3. A shape is a rectangle 6 ft wide and 3 ft tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 8 ft. Find the total area in square feet.
4. A shape is a rectangle 8 cm wide and 3 cm tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 8 cm. Find the total area in square centimetres.
5. A shape is a rectangle 4 ft wide and 2 ft tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 9 ft. Find the total area in square feet.
6. A shape is a rectangle 4 cm wide and 10 cm tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 11 cm. Find the total area in square centimetres.
7. A shape is a rectangle 12 in wide and 10 in tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 10 in. Find the total area in square inches.
8. A shape is a rectangle 10 ft wide and 8 ft tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 2 ft. Find the total area in square feet.
9. An L-shaped patio measures 10 ft by 8 ft overall, with a rectangular corner 6 ft by 3 ft missing. Find the area of the patio in square feet.
10. An L-shaped patio measures 4 m by 11 m overall, with a rectangular corner 1 m by 4 m missing. Find the area of the patio in square metres.
11. An L-shaped patio measures 10 ft by 4 ft overall, with a rectangular corner 9 ft by 3 ft missing. Find the area of the patio in square feet.
12. An L-shaped patio measures 4 cm by 8 cm overall, with a rectangular corner 1 cm by 3 cm missing. Find the area of the patio in square centimetres.
13. An L-shaped patio measures 7 m by 12 m overall, with a rectangular corner 6 m by 10 m missing. Find the area of the patio in square metres.
14. A shape is a rectangle 9 ft wide and 5 ft tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 4 ft. Find the total area in square feet.
15. An L-shaped patio measures 12 cm by 4 cm overall, with a rectangular corner 2 cm by 1 cm missing. Find the area of the patio in square centimetres.
16. A 9 ft by 10 ft rectangular board has a right triangle cut off one corner. The legs of the triangle are 3 ft and 10 ft. What area of board is left, in square feet?
17. A shape is a rectangle 9 cm wide and 11 cm tall with a triangle on top. The triangle has the same base as the width of the rectangle and a height of 15 cm. Find the total area in square centimetres.
18. A 8 cm by 12 cm rectangular board has a right triangle cut off one corner. The legs of the triangle are 8 cm and 7 cm. What area of board is left, in square centimetres?
19. An L-shaped patio measures 19 m by 6 m overall, with a rectangular corner 9 m by 3 m missing. Find the area of the patio in square metres.
20. An L-shaped patio measures 15 cm by 19 cm overall, with a rectangular corner 8 cm by 2 cm missing. Find the area of the patio in square centimetres.