Question

One of the diagonals of a rhombus is double the other diagonal. Its area is $25sq.cm$. The sum of the diagonals is:

• A. $10cm$
• B. $12cm$
• C. $15cm$
• D. $16cm$

Answer 1

Answer: (C)

$15cm$

Let the two diagonals be $d$ and $2d$

$\frac{1}{2}\left(d\right)\left(2d\right)=25$

$d^2=25$

$\Rightarrow d=5cm$

Sum of diagonals $=d+2d$

$=3d$

$=3\times 5$

$=15cm$