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Mathematics

If the lengths of diagonals of a rhombus is doubled, then area of rhombus will be

  1. doubled

  2. tripled

  3. four times

  4. remains same

Mensuration

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Answer

Let diagonals be d1 and d2.

By formula,

Area of rhombus = 12\dfrac{1}{2} × d1 × d2

If doubled, diagonals = 2d1 and 2d2.

Area of new rhombus = 12\dfrac{1}{2} × 2d1 × 2d2

= 4 × 12\dfrac{1}{2} × d1 × d2

= 4 × Area of rhombus.

Hence, Option 3 is the correct option.

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