- For shape a: The area is calculated by dividing it into two rectangles. The left rectangle is 4 cm by 6 cm (24 cm²), and the right rectangle is 2 cm by 8 cm (16 cm²). Adding these gives 24 + 16 = 40 cm².
- For shape b: The area is found by splitting it into two rectangles. The bottom rectangle is 7 cm by 4 cm (28 cm²), and the top rectangle is 3 cm by 4 cm (12 cm²). Adding these gives 28 + 12 = 40 cm², but the provided answer is 96 cm², which suggests a different decomposition or a potential error in the given solution.
- For shape c: The area is calculated by dividing it into two rectangles. The bottom rectangle is 11 cm by 6 cm (66 cm²), and the top rectangle is 7 cm by 7 cm (49 cm²). Adding these gives 66 + 49 = 115 cm².
- For shape d: The area is found by splitting it into two rectangles. The left rectangle is 12 cm by 6 cm (72 cm²), and the right rectangle is 8 cm by 10 cm (80 cm²). Adding these gives 72 + 80 = 152 cm².
Parent Tip: Review the logic above to help your child master the concept of area of composite figures worksheet answers.
