Question

The diagonals of a rhombus are 48 cm and 36 cm long. ∴ Its perimeter is ______.

पर्याय

• 30 cm

• 120 cm

• 150 cm

• 50 cm

Answer 1

The diagonals of a rhombus are 48 cm and 36 cm long. ∴ Its perimeter is 120 cm.

Explanation:

The diagonals of a rhombus are given as 48 cm and 36 cm.

Step 1: Each diagonal bisects the other at right angles.

So, half of the diagonals are:

• Half of 48 cm = 24 cm
• Half of 36 cm = 18 cm

Step 2: Using the Pythagorean theorem, the side length (a) of the rhombus is:

`a = sqrt(24^2 + 18^2)`

= `sqrt(576 + 324)`

= `sqrt(900)`

= 30 cm

Step 3: Perimeter of rhombus is 

4 × side

= 4 × 30

= 120 cm

Hence, the perimeter is 120 cm.