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In the figure, E, F, G and H are the midpoints of the sides of square ABCD.

The area of ABCD is m2 and the area of DHIE is n2

Which one of the following answers gives the value of (m+n)3 in terms of m3?

a) 9/8 m3   b) 3m3  c) 27/8m3   d) 27m3  e) 125/64 m3

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1 Antwort

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Beste Antwort

n2 = 1/4m=> n = 1/2m

(m+n)3 = (m + 1/2m)3 = (3/2m)3 = 27/8m3

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