If the diagonals of a rhombus are 48 cm and 64 cm, then what is the perimeter of rhombus?

a) 120 cm
b) 75 cm
c) 225 cm
d) 160 cm

Ans : 160 cm

SSC Constable GD Exam paper- Maths – 22 Feb 2024

Step-by-Step Solution:

The diagonals of a rhombus bisect each other at right angles. If the diagonals are given, the sides of the rhombus can be calculated using the Pythagorean theorem.

Given : Length of diagonals: 48 cm and 64 cm.

Half of the diagonals:

• Half of the first diagonal = cm.
• Half of the second diagonal = cm.

Using the Pythagorean Theorem:
The side of the rhombus is the hypotenuse of a right triangle formed by half of the diagonals:
Side =
Side} = = 40 cm

Perimeter of the rhombus:
Since all sides of a rhombus are equal, the perimeter is:
Perimeter = 4 x Side = 4 x 40 = 160 cm

Thus, the perimeter of the rhombus is 160 cm.