How many kinds of rectangles can be made out of 24 square pieces of paper with 1cm sides? Row by row, what is the maximum perimeter of a rectangle?

How many kinds of rectangles can be made out of 24 square pieces of paper with 1cm sides? Row by row, what is the maximum perimeter of a rectangle?

24 = 1 × 24 = 2 × 12 = 3 × 8 = 4 × 6, so these small squares can be placed in one line, two lines, three lines and four lines; (1) 24 small squares can be placed in one line: the length of the rectangle is 24 cm, the width is 1 cm, the circumference is (24 + 1) × 2 = 50 (CM); the area is 24 × 1 = 24 (square cm); (2) 24 small squares can be placed in two lines: the length of the rectangle is 12 cm, the width is 2 cm; the circumference is (24 + 1) × 2 = 50 (CM) Length: (12 + 2) × 2 = 28 (CM); area: 12 × 2 = 24 (square cm); (3) 24 small squares in 3 rows: the rectangle is 8 cm long and 3 cm wide; perimeter: (8 + 3) × 2 = 22 (CM); area: 8 × 3 = 24 (square cm); (4) 24 small squares in 4 rows: the rectangle is 6 cm long and 4 cm wide; perimeter: (6 + 4) × 2 = 20 (CM); area: 6 × 4 = 24 (square cm); the table is as follows: length / cm 241286 width / cm 1234 perimeter / cm 50 28 22 20 area / cm 2242420 & lt; 22 & lt; 28 & lt; 50; a: you can spell out four different shapes of rectangles, the maximum perimeter of a rectangle is 50 cm