Formula Of Perimeter Shapes

The perimeter of a shape is the distance around all four edges of the object. A form's area is the flat space inside the shape. You will also learn how to compute the areas of parallelograms, rhombi, kites, and trapeziums, as well as study the effect of doubling the dimensions of a shape on its perimeter and area.

Read Also: Class 9 Congruence of Triangles

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What is Perimeter?

A perimeter is the length of a two-dimensional shape's boundary. It is sometimes defined as the total of the lengths of all the object's sides. The perimeter of a form is the algebraic sum of the lengths of its sides. In geometry, we have formulas for the various shapes. 

The perimeter of a geometric shape is the distance between its edges. In other terms, it is the entire sum of the lengths of all the sides of two-dimensional geometry. As a result, the perimeter of every figure is the total of the lengths of each side. In this section, we will go through the perimeter formula for various geometric shapes. Let's get started!

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Formula for Perimeter

A perimeter is the length of a closed geometric figure's boundary. The perimeter formula for regular polygons can be represented using algebraic equations. Assume that each side of a regular polygon is l in length. The perimeter of shapes formula can be given for each polygon using the same variable l.

Example: The formula must be used to calculate the perimeter of a rectangular box with a length of 6 cm and a width of 4 cm.

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The Perimeter of Different Shapes

Perimeter of Hexagon

A hexagon is a six-sided polygon with six edges. A hexagon has six equal sides, and each interior angle is 120 degrees.

• Hexagon's perimeter = 6 a, where 'a' is a hexagon's side.

Hexagon

Perimeter of Kite 

A kite is a plane figure with two equal-sized pairs.

• A kite's perimeter is equal to 2a + 2b, where an is the length of the first pair and b is the length of the second pair.

Kite

Check Important Notes for Remainder Theorem

Perimeter of Rhombus

A Rhombus is a plane shape with four identical sides and four angles. These angles must be at least 90 degrees. The opposite sides of the Rhombus, on the other hand, must be parallel to each other. A rhombus' form is frequently compared to that of a diamond. A square is also known as a rhombus since it meets all of the criteria for a rhombus. The altitude of a rhombus is the distance between two sides at right angles. It should also be noted that the diagonals bisect each other at 90 degrees.

• A rhombus' perimeter equals 4, where 'a' is a rhombus side.

Rhombus

Perimeter of Trapezoid 

A trapezoid is a shape that is made up of polygons. It is a quadrilateral with at least two sides that are parallel to each other. A trapezium's altitude is the perpendicular distance between its parallel sides.

• The perimeter of a trapezoid = a + b + c + d, where a, b, c, and d are the lengths of the trapezium's sides.

Trapezoid

Read More: Semicircle

Perimeter of Parallelogram 

A parallelogram is a two-dimensional figure with opposite sides that are equal and parallel.

• Parallelogram perimeter = 2(B + H), where 'B' is the base and 'H' is the height of the parallelogram.

Parallelogram

Perimeter of Square 

A square is a two-dimensional figure with equal sides. So, let's have a look at the perimeter formula for a square.

• A square's perimeter = 4a, where 'a' is the length of a square's side.

Square

Read Also: Area Segment Circle

Perimeter of Triangle 

A triangle is a two-dimensional figure with three sides. An equilateral triangle has three equal sides, whereas an isosceles triangle has two equal sides. A scalene has three sides that are all different lengths.

The following conditions must be met in order for a triangle to exist:

a + b > c

b + c > a

c + a > b

• Triangle Perimeter = a + b + c, where 'a', 'b', and 'c' are the triangle's sides.

Triangle

Perimeter of Rectangle

A rectangle is a two-dimensional figure with equal opposed sides.

• Rectangle perimeter = 2(l + b), where 'l' is the rectangle's length and 'b' is the rectangle's breadth.

Rectangle

Read More: Similarity of Triangles

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Perimeter Formulas for 2D shapes

The perimeter formulas for several 2D forms are given below-

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Things to Remember-

• Perimeter is defined as the total of the lengths of all the object's sides. The perimeter of a form is the algebraic sum of the lengths of its sides.
• Hexagon's perimeter = 6 a, where 'a' is a hexagon's side.
• A kite's perimeter is equal to 2a + 2b, where an is the length of the first pair and b is the length of the second pair.
• A rhombus' perimeter equals 4, where 'a' is a rhombus side.
• The perimeter of a trapezoid = a + b + c + d, where a, b, c, and d are the lengths of the trapezium's sides.
• Parallelogram perimeter = 2(B + H), where 'B' is the base and 'H' is the height of the parallelogram.
• A square's perimeter = 4a, where 'a' is the length of a square's side.
• Triangle Perimeter = a + b + c, where 'a', 'b', and 'c' are the triangle's sides.
• Rectangle perimeter = 2(l + b), where 'l' is the rectangle's length and 'b' is the rectangle's breadth.

Checkout Important Notes for

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