The perimeter of a rectangle is 46 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.

P = 2L + 2W

46 = 2(W + 9) + 2W

46 = 4W + 18

28 = 4W

7 = W

To find the lengths of the sides of the rectangle, we can set up an equation based on the given information.

Let's assume that the length of one side of the rectangle is 'x' cm.

According to the given information, the other side is 9 cm longer than this side. So, the length of the other side can be represented as 'x + 9' cm.

The perimeter of a rectangle is the sum of all four sides. In this case, the perimeter is given as 46 cm.

So, we can set up the equation:
2(x + x + 9) = 46

Simplifying the equation, we get:
2(2x + 9) = 46
4x + 18 = 46
4x = 46 - 18
4x = 28
x = 28/4
x = 7

Therefore, the length of one side of the rectangle is 7 cm, and the length of the other side is 7 + 9 = 16 cm.