Question

Calculate the perimeter of rhombus whose diagonals are $12$ cm and $5$ cm long.

• A. $13$ cm
• B. $26$ cm
• C. $39$ cm
• D. $52$ cm

Answer 1

Answer: (B)

$26$ cm

Let $p=12$ cm and $q=5$

We know perimeter of rhombus $=2\sqrt{p^2+q^2}$

Thus perimeter of the rhombus with given diagonals $=$ $2\sqrt{{12}^2+5^2}$
$=$ $2\sqrt{144+25}$
$=$ $2\sqrt{169}$
$=2\times 13=26$ cm