The perimeter of the rectangle is 6 m 30 cm, and one of its sides is 8 times smaller than the neighboring

The perimeter of the rectangle is 6 m 30 cm, and one of its sides is 8 times smaller than the neighboring one. Find the area of the rectangle.

Let’s designate one side of the rectangle as x m.

Then the other side will be equal to 8 x m.

The perimeter of the rectangle is, by condition, 6, 3 m.

2 (x + 8 x) = 6, 3.

2 x + 16 x = 6, 3.

18 x = 6, 3.

x = 0.35.

One side is 35 cm.

Find the other side: 35 * 8 = 280 cm.

Find the area of a rectangle by the product of its two known sides:

S = 35 * 280 = 9800 (cm²).

Answer: the area of the rectangle is 9800 cm².