A square and a rectangle have the same perimeter of 24 cm. The area of which figure is larger

A square and a rectangle have the same perimeter of 24 cm. The area of which figure is larger if the length of the rectangle is 1 dm.

Perimeter of a square – 24 cm Perimeter of a rectangle – 24 cm Length of a rectangle – 1 dm = 10 cm Perimeter of a rectangle P = 2 * a + 2 * b (a, b – length and width), therefore: 1) (24 – 2 * 10) / 2 = 2 (cm) – the width of the rectangle; 2) 2 * 10 = 20 (cm²) – rectangle area; In a square, all sides are equal, therefore: 3) 24/4 = 6 (cm) – the side of the square; 4) 6 * 6 = 36 (cm²) – square area; 5) 20 cm² <36 cm².
Answer: the area of the square is larger.