The perimeter of the rectangle is 630 cm and one of the sides is 8 times smaller than the other. Find the area of the rectangle.

1. Let the smaller side of the rectangle be a, then the larger side is 8a. By adding twice the adjacent sides, we get the perimeter of the rectangle. Let’s make an equation, find a:
2a + 2 * 8a = 630,
2a + 16a = 630,
18a = 630,
a = 630/18,
a = 35.
2. Find the second, adjacent side:
35 * 8 = 280.
3. Find the area of the rectangle, which is equal to the product of its adjacent sides:
Area = 280 * 35 = 9800 cm2.
Answer: the area of the rectangle is 9800 cm2.