Question

Find the diagonal of a square area is 64m^2

Answer 1

If the square has a area of 64 m², then it's safe to say that the square must have side lengths of 8. Using the Pythagorean theorem, we can use the formula a²+b²=c². When the numbers are plugged in, we get 8²+8²=c², and simplifying turns it into 64+64=c². 64+64 is 128, but 128 doesn't have a perfect square root.  If you simplify the square root it will be 2*2*2√2, and even further simplified would be 8√2. That should be your diagonal. Hope this helps!

Answer 2

Given area of the square = 64 m^2

since , we know that

area of square = side × side = ( side)^2

according to question ,

(side )^2 = 64

side = √64

side = 8 m

since ,we know that

diagonal of square = √2 × side

therefore ,

diagonal of square = √2 × 8

= 8√2 m
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Your Answer : diagonal = 8√2 m
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