Table of Contents

Last modified on August 3rd, 2023

chapter outline

 

Perimeter of Kite

The perimeter of a kite is the total distance covered around its edge. The measure of perimeter is always linear, so its unit is also linear, such as cm, in, m, ft, yd, etc.

This article will precisely deal with how to find the perimeter of a kite.

Formula

The basic formula to find the perimeter of a kite is given below:

Perimeter of Kite

Let us solve an example to understand the concept better.

Find the perimeter of a kite whose 2 adjacent sides are of lengths 9.3 cm and 17 cm.

Solution:

As we know,
Perimeter (P) = 2(a + b), here a = 9.3 cm, b = 17 cm
∴P = 2(9.3  + 17)
= 52.6 cm
We can also calculate the perimeter of a kite using diagonals. Lets solve an example to understand the concept.

Finding the perimeter of a kite when DIAGONALS are known

Find the perimeter of a kite whose diagonals are 7 cm and 6 cm.

Solution:

As we know,
In a kite, the longer diagonal bisect the shorter diagonal.
In kite ABCD, AO = OC = 3 cm
Given in the figure, OD = 2 cm
Applying Pythagorean’s theorem in ΔAOD,
AD = √(AO2 + OD2)
= √(32 + 22)
= √13
Similarly, in ΔAOB,
AB = √(AO2 + OB2)
= √(32 + 52)
= √34
As we know,
Perimeter (P) = 2(a + b), here a = √13 and b = √34
= 2(√13  + √34)
= 18.9 cm

Last modified on August 3rd, 2023

Leave a comment

Your email address will not be published. Required fields are marked *