Instruction

1

For

**the square**perimeter (P) is equal to four times the value of one side (b). P = 4*b or the sum of the lengths of all sides P = b + b + b + b. The area**of a square**is expressed as the product of two adjacent sides. Find the length of one side**of the square**. If you only know the area (S), remove its value the square root a = √S. Then determine the perimeter.2

Given: area

**of square**is 36 cm2. Find the perimeter of a figure.Solution 1. Find the side**of square**b = √S, b = √36 cm2, b =6 cm, Find the perimeter: P = 4*b, P = 4*6cm, P = 24 cm P = 6 + 6 + 6 + 6 R = 24cm.Answer: the perimeter**of a square***with an area of*36 cm2 24 cm3

To find the perimeter

**of the square**through the square without extra action (computation). Use the formula for perimeter is valid only for**square**P = 4*√S.4

Solution 2. Find the perimeter

**of a square**: P = 4*√S, P = 4*√36см2, P = 24 cm Answer: perimeter**of square**is 24 cm5

Many of the parameters of this geometric shape are linked. Knowing one of them, you'll be able to find any other. There are also the following calculation formula:Diagonal: a2 = 2*b2, where a is the diagonal, b – side

**of the square**. Or a2=2S.The radius of the inscribed circle: r = b/2 where b – side.Radius of circumscribed circle: R = ½*d, where d is the diagonal**of the square**.The diameter of the circumcircle: D = f, where f is diagonal.Note

The beneficial properties of a square:

A square is regular quadrilateral, having the properties of a rectangle and a rhombus.

Square – a rectangle where all sides are equal.

The square – rhombus in which all angles are at 90 degrees.

A square face of the cube.

The diagonals of a square are equal and intersect at right angles.

The diagonal of a square divides it into two equal right triangle and is the hypotenuse for each of these triangles.

The diagonal of a square is the diameter described in the shape of a circle.

A square is regular quadrilateral, having the properties of a rectangle and a rhombus.

Square – a rectangle where all sides are equal.

The square – rhombus in which all angles are at 90 degrees.

A square face of the cube.

The diagonals of a square are equal and intersect at right angles.

The diagonal of a square divides it into two equal right triangle and is the hypotenuse for each of these triangles.

The diagonal of a square is the diameter described in the shape of a circle.