(05.02)An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.

38 square inches
66.5 square inches
114 square inches
180.5 square inches

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.

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