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Where is point P?

PAB is similar to PDC by AA. The ratio of sides AB:DC is 1:3. That means the ratio of the areas must be 1:9.

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Call the area of PAB $x$.

 - The area of PDC is obviously $x+224$

Since the ratio is 1:9, then we have the following proportion.

 - $\frac{x}{x+224}=\frac{1}{9}$

$x$ is the area of PAB. I leave the rest of the question up to you.