Answer:
24 cm
Step-by-step explanation:
Area of a kite:
[tex]A_{kite} = \frac{pq}{2}[/tex] where [tex]p[/tex] and [tex]q[/tex] are the length of the two diagonals.
Since the area is given, we have:
[tex]96 cm^2=\frac{8cm\times q}{2}[/tex]
Solving for [tex]q[/tex]:
[tex]q = \frac{2 \times 96cm^2}{8cm}=24cm[/tex]
