The sides of the rectangle are 3: 4, the length of the larger side is 16 cm. Find the perimeter and area.

1. Vertices of the rectangle A, B, C, D. AD = 16 centimeters.

2. AB: AD = 3: 4. AB = 3AD / 4.

3. We calculate the length of the side AB:

AB = 3 x 16: 4 = 12 centimeters.

4. Considering that, according to the properties of a rectangle, its opposite sides are equal, the perimeter (P) of this geometric figure is calculated by the formula:

P = 2 (AB + AD) = 2 (12 + 16) = 56 centimeters.

5. We calculate the area (S) of a given geometric figure:

S = AB x AD = 12 x 16 = 192 centimeters².

Answer: P = 56 centimeters, S = 192 centimeters².