Know the circumference of a rectangle, how to find its length and width

Length = Circumference of the rectangle 2-width.

Width = 2-length of the circumference of the rectangle.

Length + width = circumference of the rectangle 2.

Analysis: The circumference of the rectangle is the sum of the four sides, that is: length + length + width + width, and because the opposite sides of the rectangle are equal. So the circumference of the rectangle = 2 (length + width).

From this, it can be seen that length = circumference of the rectangle 2-width. Width = 2-length of the circumference of the rectangle.

Extended Information: Circle: C= D=2 R

d is the diameter, r is the radius, )

The circumference of the triangle c

a+b+c (abc is the three sides of a triangle).

Quadrilateral: C=A+B+C+D (ABCD is the side length of the quadrilateral) Special: Rectangle: C=2(A+B).

A is long, B is wide).

Square: c = 4a (a is the length of the sides of the square) [1] Polygon: c = the sum of all side lengths.

Circumference of the fan: c

2r+nπr÷180˚

n = angle of the central angle).

2r+krk=radian).

If a triangle of the same area is concerned, the circumference of the equilateral triangle is the shortest;

If a quadrilateral is said to be of the same area, the perimeter of the square is the shortest;

If a pentagon of the same area is concerned, the circumference of the regular pentagon is the shortest;

If any polygon of the same area is used, the circumference of the circle is the shortest. Perimeter can only be used on 2D graphics (planes, surfaces) and 3D graphics (three-dimensional).

For example, cylinders, cones, spheres, etc., cannot express their boundary size in terms of perimeter, but in terms of total surface area.

Total surface area.

The area of all the surfaces of the stereo is summed.

If the length is 4x, the width is 3x

So. 2(3x+4x)=84

7x=42x=6

So the length is 24 meters and the width is 18 meters.

The sum of length and width can only be obtained according to the perimeter, and there are infinite combinations of specific values of length and width, so it is necessary to give a condition (such as the ratio of length to width, or how much more length than width, etc.) can be solved.

There are no conditions, and there are other conditions to specify.

c=2（x+y）

In this case, we can only find the relationship between length and width, but not concrete.

The rectangle knows the circumference and width, the formula for finding the length: length = (circumference 2)-width.

The process is as follows:

1) The circumference of the rectangle = length + length + width + width, because of the nature of the rectangle, the opposite sides of the rectangle are equal. So the circumference of the rectangle = 2 length + 2 width.

2) Knowing the circumference and width, we get: 2 length = circumference - 2 width, and then we get: length = (circumference 2) - width.

Extended information: 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.

If the length is set to the unknown x and the width is set to the unknown y, then the perimeter = 2x + 2y, which is a 2 original equation with only one perimeter being absolute.

If the length and width cannot be determined, if there is a ratio of length and width, the length and width can be found, if the ratio of length to width is 3:1, if the width is set to the unknown number y, the length can be determined to be the unknown number 3y, if the perimeter is known to be 16, then 16 = 2 * y + 2 * 3y, simplified to 16 = 2 y + 6y, 16 = 8y, and finally y = 16 8 = 2, so the width is 2, and the length is 3y = 3 * 2 = 6

It is not possible to find the specific length and width just by knowing the circumference, and other conditions are required, such as the ratio of length and width. The length is a, the width is b, and the circumference = 2ab, and you can solve it by bringing the other conditions into this formula.

If you know the circumference, you can find out how much length + width is equal to, but you can't find out what its length and width are separately. Hope it helps!

There is no single answer. Hope it helps.

I only know that the circumference cannot find the length and width of the rectangle.

Knowing only the perimeter, you can only find the sum of the length and width of the rectangle (because the circumference of the rectangle is 2 (length and width)).

Knowing the girth, length = girth 2 wide, wide girth 2 long.

Circumference = 2 (length + width).

So. Length + width = circumference 2

Width = Circumference 2 - Length.

The circumference of the rectangle is equal to the sum of length plus width multiplied by 2

The circumference of a rectangle is known, and the sum of the length and width of the rectangle can be obtained.

According to the relationship between the length and width of the question prompt, you can find the length and width of each length.

Summary. Hello dear <>

Knowing the circumference of a rectangle to find the length and width, you can set the length as l, the width as w, and its circumference as c, so we get: c = 2l + 2w, that is, the circumference is equal to the sum of twice the length and width. Therefore, we can find the length by the circumference and width:

l = c - 2w) /2。Similarly, the width can be found from the circumference and length: w = c - 2l) 2.

Know the circumference of the rectangle to find the length and width.

Hello dear <>

Knowing the circumference of the rectangle to find the length and width, you can set the length to l, the width to w, and its circumference to c, so it gets: c = 2l + 2w, that is, the circumference is equal to the sum of twice the length and width. Therefore, we can find the length by the circumference and width:

l = c - 2w) /2。In the same way, the width can be found from the circumference and length: w = c - 2l) 2.

A square is divided into five identical rectangles, each with a circumference of 36 centimeters, what is the area of the original square?

For the question of kissing, we can first find the length and width of each rectangle. As can be seen from the inscription, the circumference of each rectangle is 36 centimeters, and the square has five identical rectangles, so the circumference of the square is 5 times that of 36 centimeters, or 180 centimeters. Since the sum of the two widths of each rectangle is the length of the thick side of the square, the side length of the square is 180 cm divided by 2 (there are two rectangles in the wide direction), which is 90 cm.

Then the length and width of each rectangle are 45 centimeters and centimeters. The area of the square is the square of the side length, which is 90 centimeters multiplied by 90 centimeters, which is equal to 8100 square centimeters.

Can you list the arithmetic?

The pro-pro-column formula yields 36 * 5 = 180180 2 = 90 square area 90 * 90 = 8100

The calculation method for finding the length according to the circumference and width is "c=2(a+b)", where c is the circumference of the rectangle, and a and b are the length and width respectively. Based on this formula, long values can be easily calculated.

1.Equation solving method

The length can be easily obtained by deforming the formula "c=2(a+b)" to "a=(c-2b) 2" and substituting one of the known quantities (width or circumference). In this way, we can quickly solve the problem of finding the perimeter and width of a rectangle in mathematical exercises.

2.Graphical analysis

In a coordinate system, you can express the known perimeter and width as the length of two straight lines, respectively, and the angular vertices are a rectangular shape of 90 degrees, and then find the long endpoints with the perimeter side as the reference line, so as to measure the length of the length. This method does not require the use of complex mathematical formulas and can visually show the relationship between the edges of the rectangle.

3.Three-sided proportional method

In a rectangle, there is a certain proportional relationship between the length, width, and diagonal. Therefore, based on the circumference and width, the proportional relationship between the length, diagonal, and perimeter can be deduced, and the length of the length can be calculated. This method is suitable for judging the similarity properties of triangles and finding the data of rectangles in polygons in learning mathematics.

To sum up, knowing the circumference and width of a rectangle, the length can be found by different calculation methods. The specific method to choose can be chosen according to the actual situation and personal preference. Understanding these methods has certain reference value for improving mathematical computing ability and solving practical problems.