A) 5 cm
B) 10 cm
C) 6.5 cm
D) 26 cm
Correct Answer: A
Solution :
We know that if all the sides of a parallelogram are equal, it is called a rhombus. Area = Base \[\times \] Height \[6.5\times 10=65\,\,c{{m}^{2}}cm.\] Let the diagonals of the rhombus be \[{{d}_{1}}\] and \[{{d}_{2}}.\] \[\therefore \] Area \[=\frac{1}{2}{{d}_{1}}{{d}_{2}}\] \[\Rightarrow \] \[65=\frac{1}{2}\times 26\times {{d}_{2}}\] \[\Rightarrow \] \[{{d}_{2}}=\frac{2\times 65}{26}\] \[\Rightarrow \] \[{{d}_{2}}=5\] Hence, other diagonal of rhombus = 5 cm
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