Perimeter of a Kite Formula

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Perimeter of a Kite Formula

A kite is a  2-dimensional figure consisting of two pairs of triangles of equal size. The sum of all the sides of the kite is called the perimeter of the kite. This distance may be calculated by adding the sides of each pair.

What Is Perimeter of a Kite Formula?

The sum of all the sides of the kite is called the perimeter of the kite. This distance may be calculated by adding the sides of each pair.

Perimeter of Kite Formula:

The perimeter of a Kite Formula can be written as,

Perimeter of a Kite = 2(a + b)

where a and b is the length of the two pairs of the kite.

Let us see the applications of the perimeter of a kite formula in the following solved examples.

Examples Using Perimeter of a Kite Formula

Example 1: A kite is having its equal sides as 12 inches and 15 inches respectively. Find its perimeter.

Solution:

To Find: Perimeter of the kite.
Given: a = 12 inch
b = 15 inch
Now, using the perimeter of a kite formula:
Perimeter = 2(a+b)
Perimeter = 2(12+15)
Perimeter = 2(27)
Perimeter = 54 inches

Answer: Perimeter of the kite is 54 inches.

Example 2: The sides of a kite are in the ratio of 3:5. If the side smaller among them is 24 inches, find its perimeter.

Solution:

To Find:  Perimeter of the kite.
Given: a = 24 inch
a:b = 3:5
a:b = 3:5
24:b = 3:5
b = 24 × (5/3) 
b = 40 inch   
Now, using the perimeter of a kite formula:
Perimeter = 2(a+b)
Perimeter = 2(24+40)
Perimeter = 2(64)
Perimeter = 128 inches

Answer: Perimeter of the kite is 128 inches.

Solved Example

Question: Find the perimeter of the kite whose equal sides are 18 cm and 26 cm.

Solution:

Given,
a = 18 cm
b = 26 cm

Perimeter of the kite = 2(a + b)
Perimeter of the kite = 2(18 + 26) = 2 × 44
Perimeter of the kite = 88 cm

Example Question #1 : How To Find The Perimeter Of Kite

Find the perimeter of the following kite:

Example Question #2 : How To Find The Perimeter Of Kite

Find the perimeter of the following kite:

Find the Area and Perimeter of a Kite: Step-by-Step Explanation

Perimeter area Kite (mathdou)

Kites, Basic Introduction, Geometry

Sample Questions

Question 1: Find the perimeter of a kite whose sides are 4 cm, 4 cm, 6 cm, 6 cm?

Answer: 

Perimeter of Kite = sum of all sides

                            = 4 + 4 + 6 + 6

                            = 20 cm

Question 2: Find the perimeter of a kite whose unequal sides are 8 cm and 12 cm?

Answer: 

Given a = 8 cm and b = 12 cm.

Perimeter of Kite = 2 × (a+b)

                            = 2 × (8+12)

                            = 40 cm

Question 3: Perimeter of a kite is 50 cm, and a side length is 4 cm find the length of other unequal side?

Answer: 

Given perimeter = 50 cm, lets take 4 cm as a 

We need to find b.

using formula of perimeter of kite = 2×(a+b)

                                                 50 = 2×(4 + b)

                                                 50 = 8 + 2×b

                                                ×b = 50 – 8

                                                  b = 42/2

                                                  b = 21 cm

Hence the length of other unequal side is 21 cm.

Question 4: If one side of a kite is twice the other unequal side and the perimeter is 99 cm, find both the unequal sides?

Answer: 

Let take first unequal side is A,

then according to question A = 2×B

                                        so B = A/2

perimeter of kite = 2×(A+B)

                          102  = 2×(A+A/2)                  as B = A/2

                          102  = 2×((3×A)/2) 

                          102  = 3×A

                           A = 102/3

                           A = 34 cm

                           B = A/2 = 34/2 = 17 cm 

Hence unequal sides are of length 17 cm and 34 cm.

Question 5: Perimeter of a kite is 100 cm, and the length of one side is 42 cm find the length of another unequal side?

Answer: 

Given perimeter = 100 cm, lets take 42 cm  as a

we need to find b.

using formula of perimeter of kite = 2×(a+b)

                                                100  = 2×(42 + b)

                                               100  = 84 + 2×b

                                               2×b = 100 – 84

                                                 b = 16/2

                                                 b = 8 cm

Hence the length of other unequal side is 8 cm.

What is the Perimeter of a Kite?

A shape’s perimeter is defined as the total distance around the shape. Essentially, it is the length of any shape when expanded in a linear form. Depending on their dimensions, the perimeters of different shapes can match in length.

For example, if a circle is made of a metal wire of length L, the same wire can be used to make a square with equal-length sides.

A kite has two equal-sized pairs. The total distance around the outside is referred to as the kite’s perimeter. This distance can be calculated by adding the lengths of each pair.

Types of Kite

There are two type of Kites:

1. Concave Kite

2. Convex Kite

What are the Properties of Kite?

  • Two distinct pairs of adjacent sides are congruent 
  •  Kite diagonals intersect at right angles
  • One of the kite diagonals is the perpendicular bisector of another.
  • Angles between unequal sides are equal.

Symmetry of Kite

The quadrilaterals with an axis of symmetry along one of their diagonals are called kites. Any non-self-crossing quadrilateral with an axis of symmetry must be either a kite (if the axis of symmetry is a diagonal) or an isosceles trapezoid (if the axis of symmetry passes through the midpoints of two sides); special cases include the rhombus and rectangle, which each have two axes of symmetry, and the square, which is both a kite and an isosceles trapez. If crossings are permitted, the list of quadrilaterals with symmetric axes must be expanded to include antiparallelograms.

Area and Perimeter of Kite

The perimeter of kite formula is given below,

Perimeter of kite formula = 2a+2b

Where,

a equals the length of the first pair

b equals the length of the second pair

The region bounded by an object’s shape is referred to as its area. The area of a shape is the space covered by the figure or any geometric shapes. The area of all shapes is determined by their dimensions and properties. Different shapes have various areas. The area of the square is not the same as the area of the kite.

If two objects have a similar shape, the area covered by them does not have to be equal unless and until the dimensions of both shapes are also equal.

Area of kite equals pq/2

Where, p and q are diagonals of a kite

Solved Example

Question 1: Find the perimeter of the kite whose equal sides are 18 cm and 26 cm.

Solution:

Given,

a = 18 cm

b = 26 cm

Perimeter of kite formula = 2(a + b)

Perimeter of kite = 2(18 + 26) = 2 × 44

Perimeter of kite = 88 cm

Question 2: Find the perimeter of the kite whose equal sides are 5 cm and 10 cm.

Solution:

Given,

a = 5 cm

b = 10 cm

Perimeter of kite formula = 2(5 + 10)

Perimeter of kite = 2(5 + 10) = 2 × 15

Perimeter of kite = 30 cm

FAQs (Frequently Asked Questions)

Question 1: How Do You Find the Perimeter of a Kite?

Answer: A kite has two equal-sized pairs. The perimeter of a kite is the total distance around the outside. This distance can be calculated by adding the lengths of each pair.

Question 2: What are the 5 Properties of a Kite?

Answer: The five properties of a kite are –

(1) two pairs of consecutive congruent sides, (2) congruent non-vertex angles, and (3) perpendicular diagonals are the properties of a kite. Trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties are also important to understand.

Perimeter of a Kite Formula & Area of Kite Formula with Problem Solution

Kite in general is a geometrical figure with pair of two equal sides. The length of kite boundaries is termed as the perimeter of a kite. This is four-sided polygon with two diagonals and adjacent sides or angles would always be equal. The diagonals of a kite will bisect each other at the right angle.

If you wanted to calculate the perimeter of a kite then you should be sure of length of two adjacent sides. For example, if the length of two adjacent sides is a and b then the perimeter formula would be calculated as – 2 (a + b). obviously, when adjacent sides are equal then perimeter would be twice of the length of unequal sides.

  • In a kite, there are two set of adjacent sides that are next to each other and if they are of same length, it is named as congruent.
  • There is one pair of congruent angles too that are opposite to each other and between sides of different lengths. If you are still confused then look at the picture of a kite given at the top carefully.
  • The diagonal of a kite would meet each other at 90-degree and they will bisect each other too.
  • The longer diagonal will always bisect the shorter one and it will cut the longer diagonal in almost half.

If you wanted to find the area of a kite then you should work on diagonals now. Take the height of diagonals as a and b and area of a kite formula could be written as below using the Pythagoras Theorem in mathematics –

Math Formulas ⭐️⭐️⭐️⭐️⭐

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