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Perimeter of Square: Formula, circumference of 64 square and significance

 

A square is a four-sided figure with four right angles. A square in mathematics is a regular figure with symmetry. A square is a regular quadrilateral in Euclidean geometry, which means it has 4 equal sides and 4 equal angles. We can also define it as a rectangle with two adjacent sides that are both the same length. Square ABCD denotes a square with the vertices. In geometry, a square is a plane figure with four equal sides and four right (90°) angles. A square has four axes of symmetry and two finite diagonals that are equal (as with any rectangle). A square is bi-sectioned by a diagonal, resulting in two right triangles.

The perimeter of a square

The term perimeter refers to a path that encircles an area. We define the perimeter of a polygon, a two-dimensional figure with angles, in mathematics, as the total length of its sides or edges.

We use the term circumference to describe the measurement around a circle, which is simply the perimeter of a circle.

We define the perimeter of a shape as the distance around its edge.

We say that the length of a square's boundary is its perimeter. P = 4*side is the formula for calculating the perimeter of a square.

The perimeter of an object is the surrounding distance. Your house, for example, has a fenced-in yard. The perimeter of the fence is the length of the fence. If your yard is 40 ft *40 ft, your fence will be 160 ft long.

A square's area is equal to the square of its side's length, and its perimeter is four times its side's length. Let the length of a square's side be 'a' unit. The square's area is equal to a2 square units. The square's perimeter equals 4a units.

What is the circumference of 64 square?

Area of the square = 64 ft2.

a2 = 64.

Hence, a = 64 = 8.

If the area square is 64 square feet, the sides will be 8 feet long.

Hence, the perimeter of a square of length 8 feet will be:

Perimeter = 4 * side = 4*8 = 32 ft.

What is the length of the barbed wire required if it has to be wound around the property four times. The property is a square land with a side length of 200m.

The length of the barbed wire required for winding it once = perimeter of the property

Perimeter of the property= 4 * side

            = 4 *200m

            = 800 m

Since the barbed wire is to be wound 4 times, then

Length of the barbed wire = 4 * perimeter of the property

            = 4 * 800 m

            = 3200 m

The length of the barbed wire required is 3.2 km

What is the significance of the perimeter?

Perimeter and area are two fundamental mathematical concepts. Perimeter is a measurement of the distance around a shape, and area shows how much surface area the shape occupies. They aid in the quantification of physical space and serve as a foundation for more advanced mathematics, such as algebra, trigonometry, and calculus.

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