Question

If the area of the rhombus below is 273 m 2, and diagonal AC = 13 m, find the length of diagonal BD.

Answer 1

$C.\:42$

1) Since the area of a Rhombus is given by the product of their diagonals over 2. We can tell that:

$\begin{gathered} A=\frac{AC\times BD}{2} \\ \\ 273=\frac{13BD}{2} \\ \\ 13BD=546 \\ \\ BD=\frac{546}{13} \\ \\ BD=42 \end{gathered}$

2) Thus, we can tell that the length of BD is 42