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Perimeter of a Kite

The length of the boundary of a kite is called as the perimeter of a kite. Kite is a four-sided polygon with two diagonals. A kite has two pair of sides where adjacent sides and opposite angles where unequal sides meet are equal. The diagonals of a kite meet at right angles. Also, the diagonals bisect each other. 

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Area of a Kite Calculator Calculate Perimeter
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How to find perimeter of kite

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To find the perimeter of kite, there is a need to know the length of two pairs of lines. If the length of lines are X and Y, then the perimeter can be obtained by the formula 2(X + Y).

The area of a kite is given by the formula $\frac{PQ}{2}$ where P and Q are the lengths of the diagonals. If length of diagonals are given then the length of sides can be obtained using the Pythagoras formula which can easily give the perimeter.

Perimeter of a Kite Formula

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Kite is a geometric figure with pair of two similar sides. Perimeter of any geometric shape is length of its boundary. Perimeter of a kite is defined as the sum of length of all sides of the kite. As adjacent sides of a kite are equal in length, the perimeter is twice the sum of the length of unequal sides.

Perimeter of a Kite

Perimeter of a kite = 2(a+b), where a and b are the sides of the kite.


Example

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Below are example problems on perimeter of a kite

Example 1:

What will be the perimeter of the kite whose sides are 9cm and 12cm?

Solution:

Given are the sides, a = 9 and b = 12

Perimeter of the kite = 2(a+b)

= 2(9 + 12)

= 42

Example 2:

If a kite has sides with length 8cm and 10cm then find its perimeter.

Solution:

Given: a = 8 and b = 10

Perimeter of the kite = 2(a+b)

= 2(8 + 10)

= 36

Example 3:

Calculate the perimeter of the kite with sides are 7cm and 9cm

Solution:

a = 7 and b = 9

Perimeter of the kite = 2(a+b)

= 2(7 + 9)

= 32

Example 4:

Find the perimeter of the kite whose sides are 7cm and 11cm

Solution:

a = 7 and b = 11

Perimeter of the kite = 2(a+b)

= 2(7 + 11)

= 36

Example 5:

Find the perimeter of the kite whose sides are 7cm and 15cm

Solution:

a = 7 and b = 15

Perimeter of the kite = 2(a+b)

= 2(7 + 15)

= 44

Practice Problems on Perimeter of a Kite

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1) Find the perimeter of the kite whose sides are 4.5cm and 5.5cm?

Ans: 
20

2) What is the perimeter of the kite whose diagonals are 8 cm and 13cm?

Ans: 22

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