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Aptitude | Mensuration 2D | Question 5

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Given: The diagonals of a rhombus are 26 cm and 14 cm. Find the length of its boundaries:

(A)

30√3

(B)

4*216

(C)

4*√218

(D)

None of the above



Answer: (C)

Explanation:

Given:

  • Diagonals of a rhombus = 14 cm and 26 cm.

To Find:

  • Find its Perimeter i.e. length of boundaries.

Solution:

  • To find the perimeter of the rhombus we should find the length of its side as perimeter = 4a, where a is the length of one side of the rhombus.
  • As diagonals of the rhombus are perpendicular, they bisect each other.
  • So, 26 cm is considered as 13 cm = x and 14 cm is considered as 7 cm = y
  • Side of the rhombus, a = √(13^2+7^2)
  • a = √218 cm
  • Perimeter, p = 4a = 4*√218 cm


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Last Updated : 06 Sep, 2018
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