Question

7.) The perimeter of a square is 48cm . find the length if it's each side.​

Answer 1

Answer:

it will be 12

perimeter of square = 4×s

so,48 = 4×s

48÷4 = s

12 = s

so the side will be 12 cm

Answer 2

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Given :-

• perimeter of square is 48 cm

To find :-

• length of each side

solution :-

• perimeter of square is 4×a

• 4a=48

• a=12

hence length of each side is 12 cm

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more to know :-

Shape of Square

A square is a four-sided polygon which has it’s all sides equal in length and the measure of the angles are 90 degrees. The shape of the square is such as, if it is cut by a plane from the center, then both the halves are symmetrical. Each half of the square then looks like a rectangle with opposite sides equal.

Properties of a Square

The most important properties of a square are listed below:

• All four interior angles are equal to 90°
• All four sides of the square are congruent or equal to each other
• The opposite sides of the square are parallel to each other
• The diagonals of the square bisect each other at 90°
• The two diagonals of the square are equal to each other
• The square has 4 vertices and 4 sides
• The diagonal of the square divide it into two similar isosceles triangles
• The length of diagonals is greater than the sides of the square

Area and Perimeter of Square

• The area and perimeter are two main properties that define a square as a square. Let us learn them one by one:

Area

Area of the square is the region covered by it in a two-dimensional plane. The area here is equal to the square of the sides or side squared. It is measured in square unit.

Area = side² per square unit

If ‘a’ is the length of the side of square, then;

Area = a² sq.unit

Also, learn to find Area Of Square Using Diagonals.

Perimeter

The perimeter of the square is equal to the sum of all its four sides. The unit of the perimeter remains the same as that of side-length of square.

Perimeter = Side + Side + Side + Side = 4 Side

Perimeter = 4 × side of the square

If ‘a’ is the length of side of square, then perimeter is:

Perimeter = 4a unit

Length of Diagonal of Square

The length of the diagonals of the square is equal to s√2, where s is the side of the square. As we know, the length of the diagonals is equal to each other. Therefore, by Pythagoras theorem, we can say, diagonal is the hypotenuse and the two sides of the triangle formed by diagonal of the square, are perpendicular and base.

Since, Hypotenuse² = base²+ Perpendicular²

Hence, Diagonal2 = Side2 + Side2

Diagonal = 2side2−−−−−√

d = s√2

Where d is the length of the diagonal of a square and s is the side of the square.

Diagonal of square

Diagonal of square is a line segment that connects two opposite vertices of the square. As we have four vertices of a square, thus we can have two diagonals within a square. Diagonals of the square are always greater than its sides.

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