Option D : is the area of the kite.
Explanation:
The formula to find the area of the kite is given by
where and are the diagonals of the kite.
From the figure, we can determine the lengths of the diagonals and
The length of the diagonal is
The length of the diagonal is
Thus, the lengths of the diagonals and are and respectively.
Substituting these values in the formula , we get,
Thus, the area of the kite is
Hence, Option D is the correct answer.