Perimeter and area formulas for squares and rectangles

Alphabetical formulas for the perimeter and area of ​​squares and rectangles

Perimeter of rectangle = (length width) * 2 area = length * width;

Perimeter of a square = side length * 4 area = side length * side length.

1. Square

A quadrilateral with four equal sides and four right angles is a square. The two opposite sides of a square are parallel, and all four sides are

Equal; the four angles are all 90°; the diagonals are perpendicular to each other, bisect each other and are equal, and each diagonal bisects a set of opposite angles. There is a group of

A parallelogram in which adjacent sides are equal and one angle is a right angle is called a square. There is a set of rectangles with equal adjacent sides called squares, with

A rhombus with an angle of 90° is called a square. A square is a special form of a rectangle and a special form of a rhombus.

2. Calculation formula

If S is the area of ​​the square, C is the perimeter of the square, a is the side length of the square, and v is the diagonal of the square, then:

3. Rectangle

Rectangle, in mathematical terms, is a parallelogram with one right angle called a rectangle. Also defined as four angles are right angles

's parallelogram, at the same time, the square is both a rectangle and a rhombus. The properties of a rectangle are: the two diagonals are equal;

Two diagonals bisect each other; two sets of opposite sides are parallel; two sets of opposite sides are equal; four angles are all right angles; there are 2 symmetries

Axis (there are 4 in a square); unstable (easy to deform); the square of the diagonal length of a rectangle is the sum of the squares of the lengths of both sides;

The quadrilateral obtained by connecting the midpoints of each side of the rectangle in sequence is a rhombus.

4. Calculation formula

Perimeter formula C=(a b)*2=(length width)*2

Area formula S=ab=length*width

Perimeter formula of rectangle and square

The formula for the perimeter of a rectangle: L (perimeter) = 2(a b). (a,b are the length and width of the rectangle respectively)

The formula for the perimeter of a square: L (perimeter) = 4a. (a is the length of one side of the rectangle)

Solution process: The two lengths of a rectangle are equal, the two widths are equal, and the perimeter is equal to the sum of the lengths of the four sides, which is twice the sum of the length and width.

The four sides of a square are equal, that is, the perimeter is equal to four times of one side.

Extended information:

A rectangle is composed of length and width, and its area formula is S=ab, where S is the area of ​​the rectangle, a is the length of the rectangle, and b is the width of the rectangle.

A square is composed of four sides, and the four sides are equal. Its area formula is S=a², where S is the area of ​​the square and a is the side length of the square.

Properties of rectangle:

(1) Two diagonals are equal;

(2) Two diagonals bisect each other;

(3) Two sets of opposite sides are parallel;

(4) Two sets of opposite sides are equal;

(5)The four corners are all right angles;

(6) has 2 axes of symmetry (square has 4).

Reference: Encyclopedia-Perimeter

Formula of square rectangle, volume formula, square formula

1. Square C perimeter S area a side length perimeter = side length * 4 C = 4a area = side length * side length S = a*a

2. Cube V: Volume a: Edge length Surface area = Edge length * Edge length * 6 S table = a*a*6 Volume = Edge length * Edge length * Edge length V = a*a*a

3, rectangle

CPerimeter SArea aSide length

Perimeter=(Length Width)*2

C=2(a b)

Area=length*width

S=ab

4, cuboid

V: Volume s: Area a: Length b: Width h: Height

(1) Surface area (length*width length*height width*height)*2

S=2(ab ah bh)

(2)Volume=length*width*height

V=abh

5 Triangle

sarea abase hheight

Area=Base*Height÷2

s=ah÷2

Height of triangle = area *2÷base

Triangle base = area *2÷height

6 Parallelogram

sarea abase hheight

Area=Base*Height

s=ah

7 Trapezoid

sarea aupper base blower base hheight

Area=(upper bottom lower bottom)*height÷2

s=(a b)* h÷2

8 Round

S area C perimeter ∏ d=diameter r=radius

(1)Perimeter=diameter*∏=2*∏*radius

C=∏d=2∏r

(2)Area=radius*radius*∏

9 Cylinder

v: volume h: height s; base area r: base radius c: base perimeter

(1)Side area=Bottom perimeter*Height

(2)Surface area=side area bottom area*2

(3)Volume=base area*height

(4)Volume=side area÷2*radius

10 Cone

v: Volume h: Height s; Base area r: Bottom radius

Volume=base area*height÷3

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