Diamond area from diagonals

In the diamond ABCD is AB = 4 dm and the length of the diagonal is 6.4 dm long. What is the area of the diamond?

Correct result:

S =  15.36 dm2

Solution:

a=4 dm u=6.4 dm  a2=(u/2)2+(v/2)2  v=2 a2(u/2)2=2 42(6.4/2)2=245=4.8 dm  S=u v2=6.4 4.82=38425=38425 dm2=15.36 dm2



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