Connecting 83441

They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the content of the square ABCD is the content of the square created in its center by connecting the points AF, BG, CH, and DE?

Correct answer:

r =  1/2

Step-by-step explanation:

S1 = a2 b2 = (a/2)2+(a/2)2 b2 = a2/4+a2/4 b2 = a2/2  S2 = b2 S2 = a2/2 = S1/2  r = S2:S1 r = S2/S1 r = S1/2 : S1 r = 1/2 : 1  r=1/2=21=0.5



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