The area of the rectangle is 12/49 cm2. Find its sides if it is known that one side is 3 times larger than the other.

1. Let’s write down the ratio of the length and width of the rectangle: 1: 3. Let the length be x, then the width is 3 * x = 3x;
2. Find the value of x:
x * 3x = 12/49;
4x = 12/49;
x = 12/196 = 3/49;
3. Given the value of x, we find the length and width of the rectangle. Rectangle length = 3/49 cm. Rectangle width = (3 * 3/49) cm = 9/49 cm;
Answer: the width of the rectangle is 3/49 cm,
the length of the rectangle is 9/49 cm.