The side of the rectangle is 14 cm, which is 2/7 of its perimeter. What is the area of the rectangle?

1. Let us determine what the perimeter of a given rectangle is if we know from the condition of the problem that its side, which is 14 cm, is 2/7 of its perimeter. To do this, the length of the known side must be divided by the part that it makes up, relative to the perimeter.

14 / 2/7 = 14 * 7/2 = (7 * 7) / 1 = 49 cm.

2. Now let’s calculate the length of the second side of the rectangle.

49 – 14 * 2 = 49 – 28 = 21 cm.

3. Next, we find the area of a given rectangle by finding the product of the lengths of its sides.

14 * 21 = 294 cm ^ 2.