Find the area of a square with a diagonal of 4cm.

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23-05-2018
Mathematics

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Find the area of a square with a diagonal of 4cm.

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altavistard altavistard · Answer 1 · 2018-05-23T22:12:49+02:00

altavistard altavistard

23-05-2018

Let the side length be s. Then sqrt(s^2+s^2) is the length of the diagonal.

sqrt(2s^2) = 4 cm, so 2s^2 = 16 cm, and s^2 = 8, so that s = 2sqrt(2).

The area of this square is s^2, which here is 4(2), or 8 square units (answer)

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