As shown in Figure 1, a rectangle (M > n) with length m and width n is cut along the dotted line and spliced into Figure 2 to form a large square after removing a small square from a corner. Then the side length of the removed small square (expressed by the formula containing m, n) is______ ．

As shown in Figure 1, a rectangle (M > n) with length m and width n is cut along the dotted line and spliced into Figure 2 to form a large square after removing a small square from a corner. Then the side length of the removed small square (expressed by the formula containing m, n) is______ ．

Let the side length of the removed small square be x, ∵ cut a rectangle (M > n) with length m and width n along the dotted line, and splice it into Figure 2 to form a large square after removing a small square at a corner, ∵ x + n = M-X, ∵ x = m − N2

As shown in the figure, there is a small square a and a rectangle B in the large square, and their area ratio is 2:3. Then, what is the area ratio of the large square and the small square______ ．

Let the side length of the small square be a, then the length of B is 32a, the side length of the large square is a + 32A = 52A, the area of the large square: the area of the small square = (52A) 2: A2 = 254:1 = 25:4; so the answer is: 25:4

How many squares can you count from this big square?
A big square is composed of 64 squares. The big square is made of 8 squares long and 8 squares wide. How many fast squares are there in total

64 squares make up a big square
Each side of the large square is composed of eight small squares
The number of squares with side length of 1 × 1 = 8 × 8 = 64
The number of squares with side length of 2 × 2 = 7 × 7 = 49
The number of squares with side length of 3 × 3 = 6 × 6 = 36
The number of squares with side length of 4 × 4 = 5 × 5 = 25
The number of squares with side length of 5 × 5 = 4 × 4 = 16
The number of squares with side length of 6 × 6 = 3 × 3 = 9
The number of squares with side length of 7 × 7 = 2 × 2 = 4
The number of squares with side length of 8 × 8 = 1 × 1 = 1
So there are all the squares
＝1＋4＋9＋16＋25＋36＋49＋64
＝204

One sixth of the area of a large square is equal to one fourth of that of a small square. The area ratio of a large square to a small square is ()

1/4:1/6=6:4=3:2
So,
The area ratio of large square to small square is (3:2)

How many squares can you count from this big square?
The process should be clear. There are eight squares on each side

8 * 8 + (8-1) square + (8-2) square + (8-3) square + (8-4) square + (8-5) square + (8-6) square + (8-7) square = 204

There are 24 small cubes with edge length of 1cm, and they are put together into a cuboid, with a total of______ The surface area of the cuboid is the smallest______ Square centimeter

24 = 2 × 2 × 2 × 3, so 24 can be written as: 2 × 12, 4 × 6, 24 × 1, 2 × 4 × 3, 2 × 2 × 6. ① 2 × 12 arrangement, length, width and height are 12 cm, 2 cm and 1 cm respectively. Surface area is (12 × 1 + 12 × 2 + 2 × 1) × 2 = 38 × 2 = 76 (square cm). ② 3 × 8 arrangement: length, width and height are 8 cm respectively

There are 24 small cubes with edge length of 1cm. They are used to make a cuboid. There are (?) different spelling methods. The minimum surface area of the cuboid is (?) square centimeter, and the maximum is (?) square centimeter

There are six spelling methods as follows: 1 * 1 * 24,1 * 2 * 12,1 * 3 * 8,1 * 4 * 6,2 * 2 * 6,2 * 3 * 4; area: 1 * 24 * 4 + 1 * 1 * 2 = 98,1 * 12 * 2 + 2 * 12 * 2 + 1 * 2 * 2 = 76,1 * 3 * 2 + 1 * 8 * 2 + 3 * 8 * 2 = 60,1 * 4 * 2 + 1 * 6 * 2 + 4 * 6 * 2 = 58,2 * 2 * 2 * 2 + 2 * 6 * 4 = 56,2 * 3 * 2 + 2 * 4 * 2 + 3 * 4 * 2 = 52, the maximum is 98, the minimum is

A large square is made of small rectangular wood blocks with a length of 24cm and a width of 16cm. What is the minimum side length of the large square? How many small rectangular pieces of wood do you want at least?

The spelling is as follows: 24 × 2 = 16 × 3 = 48 (CM); 2 × 3 = 6 (pieces); answer: the minimum side length of a large square is 48CM; at least 6 small rectangular wooden blocks are required

A large square is made of small rectangular wood blocks with a length of 24cm and a width of 16cm. What is the minimum side length of the large square? How many small rectangular pieces of wood do you want at least?

The spelling is as follows: 24 × 2 = 16 × 3 = 48 (CM); 2 × 3 = 6 (pieces); answer: the minimum side length of a large square is 48CM; at least 6 small rectangular wooden blocks are required

Using eight rectangles of the same size and a small square with a side length of 32 cm to form a large square with a side length of 60 cm, the circumference of the rectangle can be calculated

106 or 74.8 rectangles of the same size and a small square with a side length of 32 cm are put together to form a large square with a side length of 60 cm. There are only two ways to put it together. One is to require the sides of the rectangle to be 46 and 7 respectively, and each two rectangles are put together to form a large rectangle with a side length of 46 and 14