Question

The area of a rhombus is $240c{m}^2$ and one of the diagonals is 16 𝑐𝑚. Find the other diagonal.

• A. 15 𝑐𝑚
• B. 24 𝑐𝑚
• C. 30 𝑐𝑚
• D. 12 𝑐𝑚

Answer 1

The correct option is C 30 𝑐𝑚

Given, the area of the rhombus $=240c{m}^2$
$\frac{1}{2}$ $\times$ (𝑝𝑟𝑜𝑑𝑢𝑐𝑡 𝑜𝑓 𝑑𝑖𝑎𝑔𝑜𝑛𝑎𝑙𝑠) $=240c{m}^2$

Let the other diagonal be 𝑥 𝑐𝑚.
$\frac{1}{2}$ $\times$ $16\times xcm)$ $=240c{m}^2$
$\Rightarrow$ $x$ $=$ $\frac{240\times 2}{16}=30$
Hence, the length of the other diagonal is 30 𝑐𝑚.