Multiple choice

The diagonal of a square is $10$ cm. Its area is _______. (in $\displaystyle \text{cm}^{2}$)

  1. $25$
  2. $50$
  3. $75$
  4. $100$
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B Correct answer
Explanation

The area of a square given its diagonal d is (d^2) / 2. Here, (10^2) / 2 = 100 / 2 = 50.

AI explanation

Using the formula for the area of a square based on its diagonal, Area = (1/2) * d^2, substitute the given diagonal of 10 cm. The calculation is (1/2) * 10^2, which equals (1/2) * 100, resulting in 50. The result is 50.

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