1) The figure can be divided into two rectangles. The larger rectangle is 8 in by 10 in, and the smaller rectangle on top is 2 in by (10 - 7) = 3 in. The area of the larger rectangle is 8 × 10 = 80 in². The area of the smaller rectangle is 2 × 3 = 6 in². The total area is 80 + 6 = 86 in².
2) The figure can be divided into three rectangles. The top rectangle is 30 in by 12 in, the middle rectangle is 10 in by 5 in, and the bottom rectangle is 30 in by 12 in. The area of the top rectangle is 30 × 12 = 360 in². The area of the middle rectangle is 10 × 5 = 50 in². The area of the bottom rectangle is 30 × 12 = 360 in². The total area is 360 + 50 + 360 = 770 in².
3) The figure can be divided into three rectangles. The bottom rectangle is 70 in by 30 in. The middle rectangle is 40 in by 10 in. The top rectangle is 30 in by 30 in. The area of the bottom rectangle is 70 × 30 = 2100 in². The area of the middle rectangle is 40 × 10 = 400 in². The area of the top rectangle is 30 × 30 = 900 in². The total area is 2100 + 400 + 900 = 3400 in².
4) The figure is a composite of a rectangle and a triangle. The rectangle is 24 in by 10 in, and the triangle has a base of 24 in and a height of 9 in. The area of the rectangle is 24 × 10 = 240 in². The area of the triangle is (1/2) × 24 × 9 = 108 in². The total area is 240 + 108 = 348 in².
5) The figure can be divided into a rectangle and a right triangle. The rectangle is 28 in by 12 in, and the triangle has a base of 28 in and a height of 4 in. The area of the rectangle is 28 × 12 = 336 in². The area of the triangle is (1/2) × 28 × 4 = 56 in². The total area is 336 + 56 = 392 in².
6) The figure can be divided into a rectangle and a trapezoid. The rectangle is 22 in by 40 in, and the trapezoid has bases of 22 in and 50 in, and a height of 18 in. The area of the rectangle is 22 × 40 = 880 in². The area of the trapezoid is (1/2) × (22 + 50) × 18 = (1/2) × 72 × 18 = 648 in². The total area is 880 + 648 = 1528 in².
Parent Tip: Review the logic above to help your child master the concept of composite figure worksheet.
