A calculus problem by luna T

Calculus Level 2

Calculate the side length and the diagonal length of a square whose area equals 10cm²

√5cm,√10cm √10cm,√20cm √5cm,√15cm √21cm,√31cm

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1 solution

Henry U
Oct 25, 2018

Since the square has area A = 10 c m 2 A = 10cm^2 , it's side lengt is s = 10 c m 2 = 10 c m s = \sqrt{10cm^2} = \boxed{\sqrt{10}cm} . The diagonal of a square is always 2 \sqrt{2} times its side, so d = 2 10 c m = 20 c m d = \sqrt{2} \cdot \sqrt{10}cm = \boxed{\sqrt{20}cm} .

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