a kite is inscribed in a square with a side length of 9 units. what is the area of the kite? 27.5 square…

Explanation:

Step1: Find area of the square

The area formula of a square is $A = s^2$, where $s$ is the side - length. Given $s = 9$ units, so $A_{square}=9^2=81$ square units.

Step2: Relate the area of the kite to the square

The kite inscribed in the square divides the square into two equal - area parts. So the area of the kite $A_{kite}=\frac{1}{2}A_{square}$.

Step3: Calculate the area of the kite

$A_{kite}=\frac{1}{2}\times81 = 40.5$ square units.

Answer:

40.5 square units