Question

If the lengths of whose diagonals are 24 cm and 18 cm respectively, then the area of a rhombus is
a) 216 cm
b) 108 cm
c) 224 cm
d) 192 cm

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Answer 1

Step-by-step explanation:

a rhombus, the diagonals bisect each other at 900

Referring the diagram, if PR =18cm,  SQ =24cm, then OP =9cm,  OQ =12cm 

Since, triangle POQ is a right angled triangle, 

PQ2=OP2+OQ2=>92+122=225

PQ=225=15 cm 

Hence, the length of the sides of the diagonal =15cm.

Since the length of all sides of a rhombus are equal, Perimeter =4× length of one side =4×15=60cm