What is the maximum circumference of a quadrilateral made from a jigsaw puzzle made of a square with

Use two squares with a side length of 4 cm to form a rectangle, the circumference of the rectangle is 24 cm, and the area is 32 cm.

Solution: In the problem, two squares with a side length of 4 cm merge into a rectangle, then the length of the rectangle is 4 4 = 8, and the width is 4. According to the formula for the perimeter of the rectangle:

Length + width) 2, i.e. (4 8) 2=24;According to the formula for the area of the rectangle: length and width, that is, 4 8 = 32.

A rectangle, a mathematical term, is a parallelogram with a corner that is at a right angle called a rectangle. It is also defined as a parallelogram with all four corners at right angles, and at the same time, a square is both rectangular and diamond-shaped.

The nature of the rectangle is: two diagonal lines are equal; The two diagonals are bisected with each other; The two sets of opposite sides are parallel to each other; The two sets of opposite sides are equal; All four corners are right angles; There are 2 axes of symmetry (4 for squares); It is unstable (easily deformed); The square of the diagonal length of the rectangle is the sum of the squares of the two sides; The quadrilateral obtained by sequentially connecting the midpoints of each side of the rectangle is a diamond.

1. The two diagonals are equal.

2. The two diagonals are bisected by each other.

3. The two groups of opposite sides are parallel to each other.

4. The two groups of opposite sides are equal.

5. The four corners are all right angles.

6. There are 2 axes of symmetry (4 for squares).

7. It is unstable (easy to deform).

2. Common methods for determining rectangles.

1. A parallelogram with an angle of right angles is a rectangle. (Definitions).

2. A parallelogram with equal diagonals is a rectangle.

3. A parallelogram with adjacent sides perpendicular to each other is a rectangle.

4. A quadrilateral with three corners that are right angles is a rectangle.

5. Quadrilaterals with equal diagonals and bisected with each other are rectangulars.

There are many ways to spell out a quadrilateral with four tangrams, to give a few examples: 1. Two small triangles + squares + small parallelograms 2Small parallelogram + 2 small triangles + large triangle 3, large triangle + medium triangle + 2 small triangles How to spell out a triangle with a tangram:

Just put two large triangles on the top of the square and one on the side to form the largest triangle.

10 10 1 8 = square centimeters).

The area of a parallelogram is a square centimeter.

Analysis: Think of the square first as a large triangle of four equal proportions. Draw a diagonal line in the parallelogram, and you can see that there are four small triangles in this large triangle, and the parallelogram is exactly the one of the large triangle, and each large triangle is the total area.

Solution: The area of the parallelogram is 10 10 1 8 = square centimeters).

10 10 1 8 = square centimeters).

The area of a parallelogram is a square centimeter.

A pair of tangram puzzles has a side length of 12 cm, of which the area of the small triangle is 9 square centimeters, the area of the medium triangle, the small square and the parallelogram is 18 square centimeters, and the area of the large triangle is 36 square centimeters.

Solution: According to the formula of the area of the square, the area of the square is s 12*12 144 square centimeters; Observing the composition of the various parts of the tangram and analyzing how much each part occupies the area of the square, or the relationship with the area of the other parts, we can get:

1. The area of two large triangles, each accounting for a quarter of the square, and its area is s1 12*12 4 36 square centimeters;

2. The two right-angled sides of the middle triangle are one-half of the length of the square side, that is, 6cm, and the area is s2 = 6 * 6 2 = 18 square centimeters; is one-eighth of the area of a square;

3. The two small triangles are half of the area of the middle triangle, so s3 = 18 2 = 9 square centimeters;

4. The length of the square side is equal to the right-angle side of the small triangle, so the area is twice that of the small triangle, s4 = 9 * 2 = 18 square centimeters;

5. The parallelogram is equal to the square and the same height, so the area is the same s5 = 18 square centimeters;

A: The area of a small triangle is 9 square centimeters, the area of a medium triangle, a small square and a parallelogram is 18 square centimeters, and the area of a large triangle is 36 square centimeters.

The circumference of <>a = 2 * (2 + 2) = 8 cm.

Circumference of b = 2 * (4 + 1) = 10 cm.

Circumference of c = 2 * (3 + 2) = 10 cm.

Hello children, tangram is composed of regular shapes. As shown in the picture, there are two slightly larger isosceles right triangles (yellow, red), a parallelogram (light blue), a medium-sized isosceles right triangle (green), a square (earthy yellow), and two small isosceles right triangles (blue, purple).

Since the area is required, the area formula must be known.

Square area = side length x side length Triangle area = base x height 2 flat dead shape area = base x height.

Now let's start finding the areas one by one.

Large) isosceles right triangle = base x height = 8x4 2 = 16

Medium-sized) isosceles right triangle = 4x4 2 = 8

Small) isosceles right triangle = 4x2 2 = 4

Parallelogram = base x height = 4x2 = 8

Square = side length x side length (this calculation here is not something that elementary school students have learned, and the side length is an irrational number).

So, I think backwards, the whole plate does not come out except for the square area, the others are known, so the shaping area is.

8x8 - 2x16-8-4x2-8=8

So the square area is 8

As shown in the figure, the large square is divided into 16 small squares, each small square has an area of 4 cm, of which the area of the small triangle is 2 cm, count it, add one to add, and the area of each small figure is calculated.

Pentagon: The big triangle is placed as the first row, the parallelogram + small triangle + small square is the second row, and the large triangle + medium triangle + small triangle is the third row, which is put together into a small house-like pentagon.

Hexagon: The square is next to a large parallelogram consisting of a parallelogram and two triangles.

A hexagon is a very symmetrical hexagon, and the regular hexagon has 6 axes of symmetry, including 3 diagonal lines and 3 midpoint lines on opposite sides; Its 6 sides are all equal, and the degrees of each of its interior angles are also equal. The sum of the outer angles of a regular hexagon is equal to 360 degrees, each of its outer angles is 60 degrees, and each of its inner angles is 120 degrees.