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Bunuel

In the figure above, the area of square ABCD is half the area of rectangle AEFC. What is the ratio of AC to BE?

A 1/4
B 1/3
C 1/2
D 1/1
E 2/1


Attachment:
2019-01-18_1036.png

We can let the side of square ABCD = the width of rectangle AEFC = 4, and so the length of rectangle AEFC = 8. Since AB = AC = 4, BE = AE - AB = 8 - 4 = 4. Thus the ratio of AC to BE is 4/4 = 1/1.

Answer: D
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