question_answer

The perimeter of a rhombus is 40 m and its height is 5 m. Its area is

A)  \[60\,{{m}^{2}}\]                  

B)  \[50\,{{m}^{2}}\]

C)  \[45\,{{m}^{2}}\]                  

D) \[55\,{{m}^{2}}\]

Correct Answer: B

Solution :

Perimeter of rhombus \[=4\times side\] \[\therefore \]      \[4\times side=40\] \[\Rightarrow \]   \[side=\frac{40}{4}=10\,m\]       As a rhombus is a parallelogram of equal sides, its area = base \[\times \] height \[=10\times 5=50\,\,{{m}^{2}}.\]