Find the area of the kite

Given:

A figure of a kite.

To find:

The area of the given kite.

Solution:

The area of a kite is the half of the product of its diagonals.

            ...(i)

Where, are two diagonals of the kite.

From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.

Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.

Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get

The length of second diagonal is:

Substituting in (i), we get

Therefore, the area of the kite is 100 square units.

1) is right

step-by-step explanation: