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
Quiz of this Question
Please comment below if you find anything wrong in the above post