Answer:
(c) 40.5 square units
Step-by-step explanation:
Assuming the kite is oriented so its diagonals are parallel to the sides of the square, each diagonal is 9 units long. The area of the kite is given by an appropriate formula.
What is a kite?
A kite is a parallelogram with two pairs of adjacent congruent sides. Its diagonals meet at right angles. One diagonal bisects the other.
Kite area
The formula for the area of a kite is ...
A = 1/2(d1)(d2) . . . . . where d1 and d2 are the lengths of the diagonals
In this problem, the inscribed kite has congruent diagonals, both of length 9 units.
The area of the kite is ...
A = 1/2(9)(9) = 81/2 = 40.5 . . . . square units
