Question

the rhombus has a diagonal of length 10 m and an area of 100 m².find the length of the other diagonal.

Answer 1

The area of a rhombus can be calculated using the following formula:

$A=\frac{D\cdot d}{2}$

Where D is the bigger diagonal and d is the smaller diagonal.

If one diagonal has a length of 10 meters, let's use d = 10. So, if the area is 100 m², we have:

$\begin{gathered} 100=\frac{D\cdot10}{2} \\ D\cdot10=200 \\ D=\frac{200}{10} \\ D=20\text{ m} \end{gathered}$

So the other diagonal has a length of 20 meters.