Tiles

The room has dimensions 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover them room's floor.

Result

n =  105
a =  80 cm

Solution:

a=1200=24352 560=2457 GCD(1200,560)=245=80 a=80 cm  n=S/a2=1200560802=105a =1200 = 2^4 \cdot 3 \cdot 5^2 \ \\ 560 = 2^4 \cdot 5 \cdot 7 \ \\ \text{GCD}(1200, 560) = 2^4 \cdot 5 = 80 \ \\ a = 80 \ cm \ \\ \ \\ n = S/a^2 = \dfrac{1200\cdot 560} { 80^2} = 105



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





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

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





 

 

Next similar math problems:

  1. Tiles
    tiles How many 46 cm square tiles will cover a floor 22.08 m by 8.74 m?
  2. Tiles
    dlazba2 It is given an area of 5m x 4m One tile is 40 x 40 cm How many tiles are needed in an area of 5 m x 4 m? And how many tiles need to be cut (if it not possible for the tiles to fall exactly)?
  3. The carpet
    koberec_1 How many meters of carpet 90 cm wide need to cover floor room which has a rectangular shape with a lengths 4.8 m and 2.4 m if the number of pieces on the carpet is needed to be lowest?
  4. Paper squares
    stv The paper rectangle measuring 69 cm and 46 cm should be cut into as many squares as possible. Calculate the lengths of squares and their number.
  5. Street numbers
    street Lada came to aunt. On the way he noticed that the houses on the left side of the street have odd numbers on the right side and even numbers. The street where he lives aunt, there are 5 houses with an even number, which contains at least one digit number 6
  6. Decomposition
    prime_factorization Make decomposition using prime numbers of number 155. Result write as prime factors (all, even multiple)
  7. Divisibility by 12
    numbers2 Replace the letters A and B by digits so that the resulting number x is divisible by twelve /find all options/. x = 2A3B How many are the overall solutions?
  8. By six
    numbers_1 From the digits 1,2,3,4 we create the long integer number 123412341234. .. .. , which will have 962 digits. Is this number divisible by 6?
  9. Number
    prime What number should be placed instead of the asterisk in number 702*8 to get a number divisible by 6?
  10. Gears
    ozub_kola The gearing fits wheel with 20 teeth to the wheel with 36 teeth. Before starting the machine is stained tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that stai
  11. Troops
    army If the general sorts troops into the crowd by nine left 6. How many soldiers has regiment if we know that they are less than 300?
  12. Lines
    bus Five bus lines runs at intervals 3, 6, 9, 12, 15 minutes. In the morning, suddenly start at 4:00. After how many minutes the bus lines meet again?
  13. Spartakiada
    spartakiada_1 Practitioners lined up in rectangle with row with four, five or six exercisers, one always missing to full rectangle. How many exercisers were on the field, if they have estimated not been more than 100?
  14. Gearing
    prevod Gearing consists of two wheels, one is 88 and second 56 teeth. How many times turns smaller wheel to fit the same teeth as in the beginning? How many times will turn biggest wheel?
  15. Log
    5962705_ad Worker cut his thick log to 6 pieces for 30 min. How long he cut log to 12 pieces?
  16. Rectangle A2dim
    Rectangle Calculate the side of the rectangle, if you know that its area is of 2590 m2 and one side is 74 m.
  17. Divisibility
    numbers_29 Write all the integers x divisible by seven and eight at the same time for which the following applies: 100