If diagonals of a rhombus are and , find its perimeter.
Step 1: Given is a rhombus.
The diagonals and are of length and respectively.
Step 2: Find the lengths of and .
The diagonals of a rhombus bisect each other at right angles.
Step 3: Find the length of .
Use the Pythagoras theorem, to find the length of .
Step 4: Find the perimeter of rhombus.
All the four sides of a rhombus are equal.
Therefore, the perimeter of the rhombus with diagonals and is .