question_answer

If the diagonals of a rhombus are 12 cm and 16 cm. Then, the area of square having its side equal to side of rhombus is

A)  \[80\,\,c{{m}^{2}}\]   

B)  \[90\,\,c{{m}^{2}}\]

C)  \[95\,\,c{{m}^{2}}\]   

D)  \[100\,\,c{{m}^{2}}\]

Correct Answer: D

Solution :

Side of rhombus\[=\sqrt{A{{O}^{2}}+O{{B}^{3}}}\] \[=\sqrt{64+36}=10\] \[\therefore \]Area of square\[={{\left( 10 \right)}^{2}}=100\,\,c{{m}^{2}}\]