Question

The area of a rhombus is 150 ${\text{cm}}^2$. The length of one of its diagonals is $10\text{cm}$. What is the length of the other diagonal ?

• A. $30\text{cm}$
• B. $40\text{cm}$
• C. $20\text{cm}$
• D. $35\text{cm}$

Answer 1

The correct option is A $30\text{cm}$

Area of a rhombus $=\frac{1}{2}\times (diagona{l}_1\times diagona{l}_2)$

Given, Area $=150{cm}^2$

$\Rightarrow \frac{1}{2}\times 10\times diagona{l}_2=150{cm}^2$

Hence, $diagona{l}_2=30cm$