Question

The diagonals of a rhombus are $16$ and $30$. Find the perimeter of the rhombus.

• A. $60$
• B. $70$
• C. $81$
• D. $68$

Answer 1

The correct option is D $68$

Perimeter of rhombus $2\sqrt{p^2+q^2}$

Given, $p=16,q=30$

Thus perimeter with the given diagonals would be $=2\sqrt{{16}^2+{30}^2}$

$=2\sqrt{256+900}$

$=2\sqrt{1156}$

$=2\times 34=68$