Question

In a rhombus, its diagonals are 30 cm and 40 cm; its perimeter is ______.

Options

• 20 cm

• 10 cm

• 60 cm

• 100 cm

Answer 1

In a rhombus, its diagonals are 30 cm and 40 cm; its perimeter is 100 cm.

Explanation:

The diagonals of a rhombus bisect each other at right angles, forming right-angled triangles with legs equal to half their respective lengths (15 cm and 20 cm). Using the Pythagorean theorem, the side length is calculated as `sqrt{15^2 + 20^2}` = 25 cm, and multiplying this side by 4 yields a total perimeter of 100 cm.