The length and width of the rectangle are 5: 3. Find the sides of the rectangle if you know the width is 15 cm less.

Let the width of the rectangle be x cm.

The length and width of the rectangle are 5: 3, that is, the length is:

5/3 * x = 5x / 3 cm.

It is known that the width is 15 cm less than the length.

Let’s compose and solve the equation:

5x / 3 – x = 15,

2x / 3 = 15,

2x = 45,

x = 22.5 cm.

5x / 3 = 5 * 22.5: 3 = 37.5 cm.

Answer: The rectangle is 37.5 cm long and 22.5 cm wide.