Multiple choice

The area of a square is $576\;cm^2$. Find the length of its side and diagonal.

  1. $24\;cm,\;32.84\;cm$
  2. $25\;cm,\;33.84\;cm$
  3. $24\;cm,\;33.94\;cm$
  4. $24\;cm,\;33.54\;cm$
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C Correct answer
Explanation

The side length of a square is the square root of its area, so sqrt(576) = 24 cm. The diagonal of a square is side * sqrt(2), which is 24 * 1.414 = 33.936 cm, approximately 33.94 cm.

AI explanation

Using the area of a square formula, the side length is the square root of 576 cm squared, which is 24 cm. The diagonal formula for a square is side multiplied by the square root of 2, so multiplying 24 cm by 1.414 gives a diagonal length of approximately 33.94 cm.

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