The area of a rhombus is 24 m2 and the length of one of its diagonals is 8 m. The length of each side of the rhombus will be:

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RRB ALP Previous Paper 17 (Held On: 21 Aug 2018 Shift 3)
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  1. 10 m
  2. 5 m
  3. 4 m
  4. 6 m

Answer (Detailed Solution Below)

Option 2 : 5 m
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Area of rhombus = 1/2 × product of the diagonals

⇒ Length of the other diagonal = (24 × 2) /8

⇒ Length of the other diagonal = 6

(Side of rhombus)2 = (half of one diagonal)2 + (half of other diagonal)2

⇒ (Side of rhombus)2 = 32 + 42

∴ Side of rhombus = 5 m
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