Square room

What is the size of the smallest square room, which can pave with tiles with dimensions 55 cm and 45 cm?

How many such tiles is needed?

Correct result:

a =  495 cm
n =  99

Solution:

x=55 cm y=45 cm  55=5⋅11 45=32⋅5 LCM(55,45)=32⋅5⋅11=495  a=LCM(x,y)=LCM(55,45)=495 cm
n=a2/(x⋅ y)=4952/(55⋅ 45)=99

Try another example


We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?

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


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

Next similar math problems:

  • Square tiles
    dlazdice_1 The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor.
  • Tiles
    100dlazdic How many tiles of 20 cm and 30 cm can build a square if we have a maximum 100 tiles?
  • LCM
    calc_icon What is the least common multiple of 5, 50, 14?
  • What is 13
    numbers_5 What is the number in between 50 and 55 that is divisible by 2,3,6,9?
  • Steps
    steps_2 Peter makes steps long 70 cm, John 45 cm long. After how many meters their footsteps meet?
  • Tiles
    kachlicky Hall has dimensions 325 &time; 170 dm. What is the largest size of square tiles that can be entire hall tiled and how many we need them?
  • Tiles
    tiles_1 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.
  • Lcm simple
    lcm_gears Find least common multiple of this two numbers: 140 175.
  • Glass panel
    glass_4 A rectangular glass panel with dimensions of 72 cm and 96 cm will cut the glazier on the largest square possible. What is the length of the side of each square? How many squares does the glazier cut?
  • Tiles
    tiles2 The rectangular floor of the 6 x 1.8 m dimensions is to be covered with 50 cm square tiles. How many tiles will be needed?
  • LCM of two number
    numbers2_19 Find the smallest multiple of 63 and 147
  • Plumber
    klempir The plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it?
  • The smallest number
    numbers_49 What is the smallest number that can be divided by both 5 and 7
  • The King
    gold_4 The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them?
  • Lcm of three numbers
    prime What is the Lcm of 120 15 and 5
  • The classroom
    meter_3 The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Determine the width of the classroom.
  • Cubes
    krychlicky Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes.