The sides of a rectangle are in the ratio of 2:3.

The perimeter is 300cm.
What is the length of the shortest side?

Let x be the common ratio of two adjacent sides of a rectangle.

Then the shortest side of the rectangle will be 2x and the longest side will be 3x.

The perimeter of the rectangle can be given by the following formula:
Perimeter = 2(Length + Width)
300 = 2(2x + 3x)
300 = 2(5x)
5x = 150
x = 30

Therefore, the length of the shortest side will be:
2x = 2(30) = 60 cm

Hence, the length of the shortest side of the rectangle is 60 cm.