In the diagram above, PQRS is a rhombus. /PR/ = 10cm and /QS...
In the diagram above, 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 is B
For a rhombus, all the sides are equal and diagonals bisect each other at 90o. Hence, the triangles formed are congruent: (under RHS).
Thus: ¯PS2 = 52 + 122
¯PS=√25+144
= √169
¯PS = 13cm
perimeter = 4 x length of a side
= 4 x 13cm
= 52cm