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Firstly you need to work out the length of a side.

Using Pythagorean Theorem for a right angled triangle

a2+b2=c2 where a = the length, b = height & c = diagonal

since c = 8 and a = b are the same

2a2 = 64

a2 = 32

a = 5.657 cm

since the area of the square is a2 then area = 32cm2

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Q: How to you calculate area of square whose diagonal length is 8cm?
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