Area of a Kite Geometry

Introduction about kite in geometry:

In geometry a kite, or deltoids, is a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the sides of equal length are opposite. The two diagonals of a kite are perpendicular and half the product of their lengths is the area of a kite. It has four vertices's. We can calculate the area for many shapes in geometry. In this article we shall discus about how to how to calculate area of kite with geometry example problems.

Source-Wikipedia

Is this topic Definition of Acute Angle hard for you? Watch out for my coming posts.

Geometry Formula and example problems:

The space occupied by the kite is called area of kite.

Formula:

Area of kite (A) = half the product of two diagonals.

Let assume,

d1 and d2 are the two diagonal of kite.

Area of kite (A) = (d1 x d2) /2 square unit.

Example problems:

1. Find the area of kite whose diagonal length diagonal (d1) = 20cm and diagonal (d2) = 15cm.

Solution:

Given:

Diagonal (d1) = 20cm

Diagonal (d2) = 15cm

Formula:

Area of kite (A) = (d1 x d2) / 2

= (20 x 15) / 2

= 100/2

=50

Area of kite (A) = 50 cm^2

2. Find the area of kite whose diagonal length diagonal (d1) = 12cm and diagonal (d2) = 8cm.

Solution:

Given:

Diagonal (d1) = 12cm

Diagonal (d2) = 8cm

Formula:

Area of kite (A) = (d1 x d2) / 2

= (12 x 8) / 2

= 96/2

=48

Area of kite (A) = 48 cm^2

3. Find the area of kite whose diagonal length diagonal (d1) = 25cm and diagonal (d2) = 15cm.

Solution:

Given:

Diagonal (d1) = 25cm

Diagonal (d2) = 15cm

Formula:

Area of kite (A) = (d1 x d2) / 2

= (25 x 15) / 2

= 375/2

=187.5

Area of kite (A) = 187.5 cm^2

4. Find the area of kite whose diagonal length diagonal (d1) = 8cm and diagonal (d2) = 6cm.

Solution:

Given:

Diagonal (d1) = 8cm

Diagonal (d2) = 6cm

Formula:

Area of kite (A) = (d1 x d2) / 2

= (8 x 6) / 2

= 48/2

=24

Area of kite (A) = 24 cm^2

Understanding 6th grade math test prep is always challenging for me but thanks to all math help websites to help me out.

Area of kite geometry – practice problem:


1.      Find the area of kite whose diagonal length diagonal (d1) = 12cm and diagonal (d2) = 6cm.

Answer: Area (A) = 36cm^2

2.      Find the area of kite whose diagonal length diagonal (d1) = 18cm and diagonal (d2) = 9 cm.

Answer: Area (A) = 81 cm^2

3.      Find the area of kite whose diagonal length diagonal (d1) = 8cm and diagonal (d2) = 6cm.

Answer: Area (A) = 24 cm^2