Question

The ratio of length of diagonals of a rhombus is $4:7$. If its area is $350c{m}^2$, find its side.

Answer 1

Let diagonals be $d_1$ and $d_2$

Where $d_1=4x$

$d_2=7x$

So, Area $=\frac{1}{2}{d}_1\times d_2=\frac{1}{2}\times 4x\times 7x=14x^2=350$

So, $x=5$

Now, $d_1=20$, $d_2=35$

So, side $=\sqrt{\frac{d_1^2}{4}+\frac{d_2^2}{4}}\approx 20.15cm$