As shown in the figure, in rectangular ABCD, e is the point on BC and F is the point on CD. Given s △ Abe = s △ ADF = 13sabcd, then the value of s △ AEF: s △ CEF is equal to () A. 2B. 3C. 4D. 5

As shown in the figure, in rectangular ABCD, e is the point on BC and F is the point on CD. Given s △ Abe = s △ ADF = 13sabcd, then the value of s △ AEF: s △ CEF is equal to () A. 2B. 3C. 4D. 5

∵ s △ Abe = s △ ADF = 13sabcd ∵ be = 23bc, DF = 23dc, let EC = 2, FC = 1, then be = 4, DF = 2, then the area of △ CEF is 1, the area of rectangular ABCD is 18, and the area of ∵ AEF is 18-6-6-1 = 5, so s △ AEF: s △ CEF = 5:1 = 5, so D