The side lengths of rectangle B (x and y) could be in the ratio of 7:12.
The side length of B divided by the side length of A is a constant. Let's denote the side lengths of rectangle B as x and y. The ratio becomes:
(x / 6) = (y / 3.5)
Now, cross-multiply to solve for x and y:
3.5x = 6y
Solving for y in terms of x:
y = (3.5x / 6)
Simplifying the fraction:
y = (7x / 12)
Hence, the side lengths of rectangle B (x and y) could be in the ratio of 7:12.
Complete question
Rectangle A has side lengths of 6cm and 3.5cm. The side lengths of rectangle B are proportional to the side lengths of rectangle A. What could be the side lengths of rectangle B?