Two diagonals

The diagonals of the diamond EFGH have lengths in the ratio of 1:2. What is the circumference of a rhombus if the longer diagonal is 8 cm long?

Correct answer:

o =  17.8885 cm

Step-by-step explanation:

u1=8 cm u2:u1 = 1:2 u2=1/2 u1=1/2 8=4 cm  a2 = (u1/2)2+(u2/2)2  a=(u1/2)2+(u2/2)2=(8/2)2+(4/2)2=2 5 cm4.4721 cm  o=4 a=4 4.4721=8 517.8885 cm   Verifying Solution:  t=u2/u1=4/8=21=0.5

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