Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A = [tex]$ \frac{1}{2} \times d_1 \times d_2 $[/tex]
where, [tex]$ d_1 $[/tex] and [tex]$ d_2 $[/tex] are the lengths of the diagonals.
Here, [tex]$d_1 = 18 $[/tex] units.
And, [tex]$ d_2 = 24 $[/tex] units.
Therefore, the area A = [tex]$ \frac{1}{2} \times 18 \times 24 $[/tex]
= [tex]$ \frac{432}{2} $[/tex]
= 216 sq. units which is the required answer.
