Calculate the length of the diagonal of a square if the area of the square is 50 cm2.

  1. 50√2 cm
  2. 5 cm
  3. 15√2 cm
  4. 10 cm

Answer (Detailed Solution Below)

Option 4 : 10 cm
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Detailed Solution

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Given:

Area of the square = 50 cm2

Formula used:

Area of square = a2

For square of side ‘a’, diagonal = √2a

Calculation:

a2 = 50 cm2

⇒ a = √(5 × 5 × 2) = 5√2 cm

Thus, length of diagonal of square = √2a = √2 × 5√2 = 10 cm
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