# Magic belt

The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had an area of 4 cm

^{2}. What was its original length if the original width was 9 cm?## Correct answer:

Tips for related online calculators

Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.

Check out our ratio calculator.

Do you want to convert length units?

Check out our ratio calculator.

Do you want to convert length units?

### You need to know the following knowledge to solve this word math problem:

### Units of physical quantities:

### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Corresponds 81049

Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal - Increased 2843

Which number has the property that if we subtract from its five times increased by five and its three times reduced by 3, we get the original number again? - Louis

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - Jeffery

Jeffery is painting a wall. The width of the wall is 9 feet the length of the was, is 8 2/3 feet. What is the area of the wall Jeffery wants to paint?

- The hall

The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Insulate house

The property owner wants to insulate his house. The house has these dimensions of 12, and 12 m is 15 m high. The windows have six dimensions, 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - Original 4777

Which number has such a property that if we increase it by 7, we get a number with the same absolute value as the original number?