The circumference of a rectangle is between 401cm and 50cm. The ratio of its length to width is 5:7. What is the area of the rectangle?

The circumference of a rectangle is between 401cm and 50cm. The ratio of its length to width is 5:7. What is the area of the rectangle?

If the length and width of a rectangle must be integers, it can be solved, otherwise there are infinite solutions
Let the rectangle be 5 x wide and 7 x long
Then perimeter = 2 * (5x + 7x) = 24x
When x = 2, the circumference is 48
In this case, length = 2 * 7 = 14, width = 2 * 5 = 10
Area = 14 * 10 = 140