- Problem 1: The shape is an L-shape. It can be divided into a 30 ft by 15 ft rectangle and a 5 ft by 5 ft rectangle. Area = (30 * 15) + (5 * 5) = 450 + 25 = 475 ft².
- Problem 2: The shape is a large rectangle with a smaller rectangle cut out. The large rectangle is 25 cm by 30 cm, and the cut-out is 5 cm by 10 cm. Area = (25 * 30) - (5 * 10) = 750 - 50 = 700 cm².
- Problem 3: The shape is a composite of two rectangles. The top rectangle is 36 m by 24 m, and the bottom rectangle is 10 m by 14 m. Area = (36 * 24) + (10 * 14) = 864 + 140 = 1,004 m².
- Problem 4: The shape is a T-shape. It can be divided into a 12 ft by 6 ft rectangle and a 3 ft by 8 ft rectangle. Area = (12 * 6) + (3 * 8) = 72 + 24 = 96 ft². However, the provided answer is 120 ft², which suggests a different interpretation or calculation error in the problem setup.
- Problem 5: The shape is a complex polygon that can be divided into three rectangles. The top rectangle is 14 yd by 8 yd, the middle rectangle is 5 yd by 8 yd, and the bottom rectangle is 14 yd by 8 yd. Area = (14 * 8) + (5 * 8) + (14 * 8) = 112 + 40 + 112 = 264 yd². However, the provided answer is 256 yd², indicating a possible misinterpretation or error.
- Problem 6: The shape is a step-like figure. It can be divided into three rectangles: 12 m by 18 m, 10 m by 6 m, and 6 m by 6 m. Area = (12 * 18) + (10 * 6) + (6 * 6) = 216 + 60 + 36 = 312 m². However, the provided answer is 308 m², suggesting a different division or calculation.
- Problem 7: The shape is an F-shape. It can be divided into three rectangles: 6 mm by 2 mm, 3 mm by 1 mm, and 3 mm by 3 mm. Area = (6 * 2) + (3 * 1) + (3 * 3) = 12 + 3 + 9 = 24 mm². However, the provided answer is 33 mm², indicating a different interpretation.
- Problem 8: The shape is a U-shape. It can be calculated as the area of the outer rectangle minus the area of the inner cut-out. The outer rectangle is 16 cm by 28 cm, and the inner cut-out is 6 cm by 18 cm. Area = (16 * 28) - (6 * 18) = 448 - 108 = 340 cm². However, the provided answer is 412 cm², suggesting a different approach or error.
Parent Tip: Review the logic above to help your child master the concept of composite figure area worksheet.
