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Answer:
[tex]\huge\boxed{A=60\pi cm^2}[/tex]
Step-by-step explanation:
The formula of an area of a elipse:
[tex]A=\pi ab[/tex]
We have:
[tex]2a=10cm\to a=5cm\\\\2b=24cm\to b=12cm[/tex]
Substitute:
[tex]A=\pi\dot5\cdot12=60\pi(cm^2)[/tex]