In the diagram, PQRS is a rhombus. /PR/ = 10cm and /QS/ = 24cm. Calculate the perimeter of the rhombus
-
A.
34cm -
B.
52cm -
C.
56cm -
D.
96cm
Correct Answer: Option B
Explanation
For a rhombus, all the sides are equal and diagonals bisect each other at 90o. Hence, the triangles formed are congruent: (under RHS).
Thus: (bar{PS}^2) = 52 + 122
(bar{PS} = sqrt{25 + 144})
= (sqrt{169})
(bar{PS}) = 13cm
perimeter = 4 x length of a side
= 4 x 13cm
= 52cm