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 a content area 4 cm2. What was its original length if the original width was 9 cm?


b =  96 cm


Solution in text b =

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!

To solve this example are needed these knowledge from mathematics:

Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

Next similar examples:

  1. Withdrawal
    penize_13 If I withdrew 2/5 of my total savings and spent 7/10 of that amount. What fraction do I have in left in my savings?
  2. Fraction to decimal
    decimals Write the fraction 3/22 as a decimal.
  3. Zdeněk
    tanks_3 Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.
  4. Fraction and a decimal
    numbs_11 Write as a fraction and a decimal. One and two plus three and five hundredths
  5. Ratio 11
    zlomky_7 Simplify this ratio 10 : 1/4
  6. Mixed2improper
    zlomky_8 Write the mixed number as an improper fraction. 166 2/3
  7. Passenger boat
    boy_4 Two-fifths of the passengers in the passenger boat were boys. 1/3 of them were girls and the rest were adult. If there were 60 passengers in the boat, how many more boys than adult were there?
  8. Teacher
    cake Teacher Rem bought 360 pieces of cupcakes for the outreach program of their school. 5/9 of the cupcakes were chocolate flavor and 1/4 wete pandan flavor and the rest were vanilla flavor. How much more chocolate flavor cupcakes than vanilla flavor?
  9. Points
    points Gryffindor won 437 points. How many points obtained by each of the faculties if they were split at a ratio of 5: 7: 3: 4?
  10. Pizza 4
    pizza_6 Marcus ate half pizza on monday night. He than ate one third of the remaining pizza on Tuesday. Which of the following expressions show how much pizza marcus ate in total?
  11. In fractions
    ant An ant climbs 2/5 of the pole on the first hour and climbs 1/4 of the pole on the next hour. What part of the pole does the ant climb in two hours?
  12. Ratios
    circle Divide: a) 250 CZK in the ratio 2:3 b) 1000 CZK in the ratio 4:7:9
  13. Hamster cage
    hamster Ryan keeps his hamster cage on his dresser. The area of the top of Ryan's dresser is 1 2\3 as large as the area of the bottom of his hamster cage. The area of the dresser top is 960 square inches. How many square inches of his dresser top are not covered b
  14. Divide money
    zlomky Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10
  15. One sixth
    one_sixth How many sixth are two thirds?
  16. Building
    wood_3 At the building, we divided 240 boards into two piles in a 5: 3 ratio. How many were fewer boards in the lower pile?
  17. A map
    mapa_1 A map of size 60cm by 25cm is reduced in the ratio of 3:5, twice. What are the new dimensions?