How do We Find the Perimeter of a Kite?
A kite is a quadrilateral that has two pairs of equal sides that are adjacent to each other. There are two perpendicular diagonals in a kite. The perimeter of the kite is the sum of the length of all its sides. Its perimeter can be calculated by adding up the side lengths of each pair of sides. Let’s now look at the formula to find the perimeter of a kite.
Perimeter of a Kite (P) = 2(a + b)
Here,
The terms ‘a’ and ‘b’ are the lengths of the two pairs of the kite.
Rapid Recall
Solved Examples
Example 1:
The side lengths of a kite are 15 inches and 18 inches. Determine its perimeter.
Solution:
As we know, a kite has two pairs of sides that are equal to each other. So, one pair has sides length of 18 inches, we will consider this as ‘a’. And ‘b’ is the length of the sides in another pair, that is 18 inches.
P = 2(a + b) [Formula of perimeter of a kite]
= 2(15 + 18) [Substitute the value]
= 2(33) [Apply PEMDAS rule]
= 66 inches
Therefore, the perimeter of the kite is 66 inches.
Example 2:
Jacob has made a kite that has a perimeter of 70 inches. What is the length of one of the opposite pair of equal sides, if the length of one of the sides of another pair of equal sides is 12 inches long?
Solution:
As stated, the perimeter of Jacob’s kite is 70 inches and the length of one of its equal sides is 12 inches, that is ‘a’. We can find the length of the opposite pair using the perimeter of a kite formula.
P= 2(a + b) [Formula of perimeter of a kite]
\(\frac{70}{2}\) = 12 + b [Divide both sides by 2]
35 – 12 = b [Subtract both sides by 12]
23 = b
Therefore, one of the sides in the other pair of equal sides is 23 inches long.
Example 3:
Sara has prepared a colorful kite for a craft competition in her school. Find the perimeter of Sara’s kite, which has equal sides of 20 cm and 35 cm.
Solution:
Let ‘a’ be the side length of one pair = 20 cm
Let ‘b’ be the side length of another pair = 35 cm
P = 2(a + b) [Formula of perimeter of a kite]
= 2(20 + 35) [Substitute the value]
= 2(55) [Apply PEMDAS rule]
= 110
Therefore, the perimeter of the kite is 110 cm.
The diagonals of a kite are perpendicular to each other. So, both diagonals make a right angle, that is, 90°.
The total distance along the edge of the kite is called the perimeter of a kite. It can be calculated by adding all the sides of a kite.
Yes. A kite is a quadrilateral that has two pairs of sides that are of equal length, and which are adjacent to each other.
The formula to find the perimeter of a kite is P = 2(a + b), where ‘a’ and ‘b’ are the individual lengths of one of the sides that belong to the two pairs of equal sides.