If triangle cde is dilated by a scale factor of 15 with a center of dilation at vertex e, what is the area of triangle c'd'e'?

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We are given that the second figure is a dilation of the first one by 15. Thus, the ratio of their corresponding sides is equal to 
                       C'D'E:CDE = 15:1
For the areas,
                 A of C'D'E': A of CDE = 225:1
Thus, if we have the area of CDE, we just have to multiply that with 225 to have the area of C'D'E'. 

500× the original volume