A kite has two pairs of adjacent sides that are equal, or joining two isosceles triangles with the same base will form a kite.

So the area of a kite can be found by dividing the figure into two equal triangles along one of the diagonals.

Area of kite = area of triangle 1 + area of triangle 2

= y(x – a) + ya

= xy – ya + ya

= xy

Using the above, we can write the area of a kite to be equal to half the product of its two diagonals.

**Example 1**** :** What is the area of this kite?

Splitting the kite along the long diagonal gives us two triangles.

Area of kite = Area of triangle 1 + Area of triangle 2

= x 25 x 7 + x 25 x 7

= 87.5 + 87.5

= 175 cm^{2}

Using the formula, we can also obtain the area of this kite.

A = xy

= x 25 x 14

= 175 cm^{2}

**Example 2**** :** Calculate the area of this kite.

Splitting along the longer diagonal, we get two triangles.

Area of kite = area of triangle 1 + area of triangle 2

= x 16 x 5 + x 16 x 5

= 40 + 40

= 80 cm^{2}

We can also obtain the area of this kite using the formula.

A = xy

= x 16 x 10

= 80 cm^{2}