The length and width of the rectangle together is 30 cm. What is the length and width if the length is 5 times longer?

According to the condition of the problem, the length of the rectangle is 5 times its width, which means that the length and width together are 6 parts, of which 5 parts are equal to the length of the rectangle, and 1 part is equal to its width.

It is also known from the condition that the sum of the length and width is 30 cm.

So, we find what is 1 part, dividing the sum by the number of parts:

30: 6 = 5.

Accordingly, the width of the rectangle is 5 cm.

Find the length: 5 * 5 = 25 (cm).

Answer: 25 cm and 5 cm.