The perimeter of the rectangle is 210mm, and the length of one side is one-sixth of the other.

The perimeter of the rectangle is 210mm, and the length of one side is one-sixth of the other. what is the area of the rectangle?

To solve the problem, let’s compose an equation, where x is the length of one of the sides of the rectangle, and 1/6 * x is the length of the other side:

(1/6 * x + x) * 2 = 210;

7/6 * x * 2 = 210;

14x / 6 = 210;

14x = 210 * 6;

14x = 1260;

x = 90 mm – the length of one of the sides of the rectangle;

90 * 1/6 = 15 mm – the length of the other side of the rectangle.

Now, knowing the length of each side of the rectangle, we can find its area:

90 * 15 = 1350 mm ^ 2 – the area of the rectangle.

Answer: 1350 mm ^ 2.