Tiles

From how many tiles 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 881 tiles.

Correct answer:

n =  864

Step-by-step explanation:

$$\begin{gathered} 20=2\cdot 10 \\ 30=3\cdot 10 \\ S=ab=2x3x\cdot 100=6x^2\cdot 100 \\ 6x^2=881 \\ {x}^2=146.83 \\ x\doteq 12.12\doteq 12 \\ n=6x^2=6\cdot 12^2=864 \end{gathered}$$

Try another example

Related math problems and questions:

• Tiles
  How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles?
• Plumber
  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?
• Nuts
  How many we must have at least nuts if we can equally divide it to 10 children, 12 children or 15 children and any nut left?
• Cuboid walls
  Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm².
• 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?
• Uboid volume
  Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²
• Bricks pyramid
  How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
• Rectangle
  The perimeter of the rectangle is 22 cm and content area 30 cm². Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
• Tiles
  How many square tiles with an area of 121 cm² have to be ordered for the square room's paving with a side length of 2.75 meters?
• Tiles
  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?
• A number 5
  A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number.
• Square
  Suppose the square's sides' length decreases by a 25% decrease in the content area of 28 cm². Determine the side length of the original square.
• Wooden bowls
  20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d
• Bricks wall
  There are 5000 bricks. How high wall thickness of 20 cm around the area which has dimensions 20 m and 15 m can use these bricks to build? Brick dimensions are 30 cm, 20 cm and 10 cm.
• Triangle SAS
  Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
• Trapezoid
  Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio 6:4:3. How long are a,c and h? Make calculation...
• Tank
  In the middle of a cylindrical tank with a bottom diameter 251 cm is standing rod which is 13 cm above the water surface. If we bank rod its end reach surface of the water just by the tank wall. How deep is the tank?