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The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX|…

The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter

  • A.
    42cm
  • B.
    48cm
  • C.
    52cm
  • D.
    60cm
Correct Answer: Option C
Explanation

Let the length of a side of the rhombus be n

Then, n(^2) = 5(^2) + 12(^2)

= 25 + 144 = 169

n = (sqrt{169})

= 13cm

Hence, perimeter of rhombus = 4n = 4 x 13

= 52cm