Area of a shape + prime numbers - practice problems
Number of problems found: 30
- Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²?
- Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - Square room
What is the size of the smallest square room, which can be paved with tiles with dimensions of 55 cm and 45 cm? How many such tiles are needed? - Largest squares
How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm? - Paper squares
We should cut the paper rectangle measuring 69 cm and 46 cm into as many squares as possible. Calculate the lengths of squares and their number. - Rectangular 4819
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow?
- Tiles
How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles? - Rectangular 22761
We will pave a square plot of land from rectangular tiles with 25 cm and 30 cm dimensions. What is the smallest square plot we can pave with these tiles without cutting them? - Rectangular 56801
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution? - Square tiles
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
Hall has dimensions 250 × 200 dm. What is the largest size of square tiles that can be entire hall tiled, and how many do we need them?
- Maximally 4036
Mr. Novák wants to pave the terrace with tiles of two sizes to be as small as possible. Its terrace is square with a side 3 meters long. There is a wall of the house on two sides of the terrace. Next to the wall, he wants to put small tiles, the rest larg - Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 275 tiles. - Three 205
Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars. - Pagans
Elena cut out the same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagan occupied 28.26 cm² of the bottom of the sh - Rectangle-shaped 80074
Pupils had to stack rectangle-shaped pictures with dimensions of 210mm and 84mm so as to cover the square. What is the smallest square we can cover like this, and how many images do we need?
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