Question

The lengths of the two diagonals of a rhombus are 6 cm and 8 cm. Find the length of its perimeter (in

cm)

Answer 1

The perimeter of the rhombus is 20 cm

Explanation:

Perimeter of a Rhombus

Given the lengths of the two diagonals of a rhombus, let's call them a and b, the perimeter of the rhombus is given by:

`P=2√(a^2+b^2)`

The values of the diagonals provided by the question are a=6 cm, b=8 cm, thus the perimeter is:

`P=2√(6^2+8^2)`

`P=2√(36+64)`

`P=2√(100)=2*10`

`P=20\ cm`

The perimeter of the rhombus is 20 cm