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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

We know that
A= 1/2 p√4*a^2-p^2
Where p is one diagonal and a is side of rhombus.A is the area
So put the values
A= 96(after solving)
Then we also know,
Area of rhombus is also = 1/2*p*q
Where p one diagonal and q is another one
So put in values
96=1/2*12*q
Therefore, q=16..
Hence another diagonal is 16 cm..